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Finding the Fourth Proportional to 2,649.30, 3,973.08 and 893.83

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Solution

The fourth proportional to 2,649.30, 3,973.08 and 893.83 is: 1,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.30 : 3,973.08 = 893.83 : x
  2. Step 2: Convert to fraction form
    2,649.30/3,973.08 = 893.83/x
  3. Step 3: Cross multiply
    2,649.30x = 3,973.08 × 893.83
  4. Step 4: Simplify right side
    2,649.30x = 3,551,253.63
  5. Step 5: Solve for x
    x = 3,551,253.63/2,649.30
  6. Step 6: Final answer
    x = 1,340.45

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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.