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Finding the Fourth Proportional to 19,400.78, 29,070.72 and 13,489.16

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Solution

The fourth proportional to 19,400.78, 29,070.72 and 13,489.16 is: 20,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400.78 : 29,070.72 = 13,489.16 : x
  2. Step 2: Convert to fraction form
    19,400.78/29,070.72 = 13,489.16/x
  3. Step 3: Cross multiply
    19,400.78x = 29,070.72 × 13,489.16
  4. Step 4: Simplify right side
    19,400.78x = 392,139,448.04
  5. Step 5: Solve for x
    x = 392,139,448.04/19,400.78
  6. Step 6: Final answer
    x = 20,212.56

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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.