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Finding the Fourth Proportional to 15,666, 23,503.50 and 7,770.93

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Solution

The fourth proportional to 15,666, 23,503.50 and 7,770.93 is: 11,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666 : 23,503.50 = 7,770.93 : x
  2. Step 2: Convert to fraction form
    15,666/23,503.50 = 7,770.93/x
  3. Step 3: Cross multiply
    15,666x = 23,503.50 × 7,770.93
  4. Step 4: Simplify right side
    15,666x = 182,644,053.26
  5. Step 5: Solve for x
    x = 182,644,053.26/15,666
  6. Step 6: Final answer
    x = 11,658.63

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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.