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Finding the Fourth Proportional to 19,981.74, 29,978.61 and 9,459.78

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Solution

The fourth proportional to 19,981.74, 29,978.61 and 9,459.78 is: 14,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,981.74 : 29,978.61 = 9,459.78 : x
  2. Step 2: Convert to fraction form
    19,981.74/29,978.61 = 9,459.78/x
  3. Step 3: Cross multiply
    19,981.74x = 29,978.61 × 9,459.78
  4. Step 4: Simplify right side
    19,981.74x = 283,591,055.31
  5. Step 5: Solve for x
    x = 283,591,055.31/19,981.74
  6. Step 6: Final answer
    x = 14,192.51

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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.