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Finding the Fourth Proportional to 2,649.02, 3,973.52 and 917.64

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Solution

The fourth proportional to 2,649.02, 3,973.52 and 917.64 is: 1,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.02 : 3,973.52 = 917.64 : x
  2. Step 2: Convert to fraction form
    2,649.02/3,973.52 = 917.64/x
  3. Step 3: Cross multiply
    2,649.02x = 3,973.52 × 917.64
  4. Step 4: Simplify right side
    2,649.02x = 3,646,260.89
  5. Step 5: Solve for x
    x = 3,646,260.89/2,649.02
  6. Step 6: Final answer
    x = 1,376.46

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.