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Finding the Fourth Proportional to 15,548, 23,325.66 and 5,159.78

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Solution

The fourth proportional to 15,548, 23,325.66 and 5,159.78 is: 7,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,548 : 23,325.66 = 5,159.78 : x
  2. Step 2: Convert to fraction form
    15,548/23,325.66 = 5,159.78/x
  3. Step 3: Cross multiply
    15,548x = 23,325.66 × 5,159.78
  4. Step 4: Simplify right side
    15,548x = 120,355,273.95
  5. Step 5: Solve for x
    x = 120,355,273.95/15,548
  6. Step 6: Final answer
    x = 7,740.88

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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.