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Finding the Fourth Proportional to 18,870, 28,300.56 and 7,765.68

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Solution

The fourth proportional to 18,870, 28,300.56 and 7,765.68 is: 11,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,870 : 28,300.56 = 7,765.68 : x
  2. Step 2: Convert to fraction form
    18,870/28,300.56 = 7,765.68/x
  3. Step 3: Cross multiply
    18,870x = 28,300.56 × 7,765.68
  4. Step 4: Simplify right side
    18,870x = 219,773,092.78
  5. Step 5: Solve for x
    x = 219,773,092.78/18,870
  6. Step 6: Final answer
    x = 11,646.69

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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.