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Finding the Fourth Proportional to 13,642.92, 20,475.31 and 7,070.99

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Solution

The fourth proportional to 13,642.92, 20,475.31 and 7,070.99 is: 10,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.92 : 20,475.31 = 7,070.99 : x
  2. Step 2: Convert to fraction form
    13,642.92/20,475.31 = 7,070.99/x
  3. Step 3: Cross multiply
    13,642.92x = 20,475.31 × 7,070.99
  4. Step 4: Simplify right side
    13,642.92x = 144,780,618.72
  5. Step 5: Solve for x
    x = 144,780,618.72/13,642.92
  6. Step 6: Final answer
    x = 10,612.14

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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.