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Finding the Fourth Proportional to 15,427.92, 23,142 and 5,039.70

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Solution

The fourth proportional to 15,427.92, 23,142 and 5,039.70 is: 7,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,427.92 : 23,142 = 5,039.70 : x
  2. Step 2: Convert to fraction form
    15,427.92/23,142 = 5,039.70/x
  3. Step 3: Cross multiply
    15,427.92x = 23,142 × 5,039.70
  4. Step 4: Simplify right side
    15,427.92x = 116,628,737.40
  5. Step 5: Solve for x
    x = 116,628,737.40/15,427.92
  6. Step 6: Final answer
    x = 7,559.59

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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.