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Finding the Fourth Proportional to 8,691.84, 13,022.64 and 5,407.29

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Solution

The fourth proportional to 8,691.84, 13,022.64 and 5,407.29 is: 8,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.84 : 13,022.64 = 5,407.29 : x
  2. Step 2: Convert to fraction form
    8,691.84/13,022.64 = 5,407.29/x
  3. Step 3: Cross multiply
    8,691.84x = 13,022.64 × 5,407.29
  4. Step 4: Simplify right side
    8,691.84x = 70,417,191.05
  5. Step 5: Solve for x
    x = 70,417,191.05/8,691.84
  6. Step 6: Final answer
    x = 8,101.53

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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.