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Finding the Fourth Proportional to 15,437.38, 23,119.06 and 7,921.16

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Solution

The fourth proportional to 15,437.38, 23,119.06 and 7,921.16 is: 11,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,437.38 : 23,119.06 = 7,921.16 : x
  2. Step 2: Convert to fraction form
    15,437.38/23,119.06 = 7,921.16/x
  3. Step 3: Cross multiply
    15,437.38x = 23,119.06 × 7,921.16
  4. Step 4: Simplify right side
    15,437.38x = 183,129,677.52
  5. Step 5: Solve for x
    x = 183,129,677.52/15,437.38
  6. Step 6: Final answer
    x = 11,862.75

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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.