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Finding the Fourth Proportional to 19,468.80, 29,206.08 and 7,781.76

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Solution

The fourth proportional to 19,468.80, 29,206.08 and 7,781.76 is: 11,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,468.80 : 29,206.08 = 7,781.76 : x
  2. Step 2: Convert to fraction form
    19,468.80/29,206.08 = 7,781.76/x
  3. Step 3: Cross multiply
    19,468.80x = 29,206.08 × 7,781.76
  4. Step 4: Simplify right side
    19,468.80x = 227,274,705.10
  5. Step 5: Solve for x
    x = 227,274,705.10/19,468.80
  6. Step 6: Final answer
    x = 11,673.79

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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.