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Finding the Fourth Proportional to 15,665, 23,502 and 7,769.93

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Solution

The fourth proportional to 15,665, 23,502 and 7,769.93 is: 11,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665 : 23,502 = 7,769.93 : x
  2. Step 2: Convert to fraction form
    15,665/23,502 = 7,769.93/x
  3. Step 3: Cross multiply
    15,665x = 23,502 × 7,769.93
  4. Step 4: Simplify right side
    15,665x = 182,608,894.86
  5. Step 5: Solve for x
    x = 182,608,894.86/15,665
  6. Step 6: Final answer
    x = 11,657.13

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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.