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Finding the Fourth Proportional to 19,877.70, 29,788.53 and 15,699.30

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Solution

The fourth proportional to 19,877.70, 29,788.53 and 15,699.30 is: 23,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.70 : 29,788.53 = 15,699.30 : x
  2. Step 2: Convert to fraction form
    19,877.70/29,788.53 = 15,699.30/x
  3. Step 3: Cross multiply
    19,877.70x = 29,788.53 × 15,699.30
  4. Step 4: Simplify right side
    19,877.70x = 467,659,069.03
  5. Step 5: Solve for x
    x = 467,659,069.03/19,877.70
  6. Step 6: Final answer
    x = 23,526.82

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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.