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Finding the Fourth Proportional to 19,978.85, 29,986.68 and 10,125.02

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Solution

The fourth proportional to 19,978.85, 29,986.68 and 10,125.02 is: 15,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.85 : 29,986.68 = 10,125.02 : x
  2. Step 2: Convert to fraction form
    19,978.85/29,986.68 = 10,125.02/x
  3. Step 3: Cross multiply
    19,978.85x = 29,986.68 × 10,125.02
  4. Step 4: Simplify right side
    19,978.85x = 303,615,734.73
  5. Step 5: Solve for x
    x = 303,615,734.73/19,978.85
  6. Step 6: Final answer
    x = 15,196.86

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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.