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Finding the Fourth Proportional to 2,649.12, 3,973.50 and 917.70

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Solution

The fourth proportional to 2,649.12, 3,973.50 and 917.70 is: 1,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.12 : 3,973.50 = 917.70 : x
  2. Step 2: Convert to fraction form
    2,649.12/3,973.50 = 917.70/x
  3. Step 3: Cross multiply
    2,649.12x = 3,973.50 × 917.70
  4. Step 4: Simplify right side
    2,649.12x = 3,646,480.95
  5. Step 5: Solve for x
    x = 3,646,480.95/2,649.12
  6. Step 6: Final answer
    x = 1,376.49

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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.