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Finding the Fourth Proportional to 15,363.28, 23,027.64 and 7,138

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Solution

The fourth proportional to 15,363.28, 23,027.64 and 7,138 is: 10,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,363.28 : 23,027.64 = 7,138 : x
  2. Step 2: Convert to fraction form
    15,363.28/23,027.64 = 7,138/x
  3. Step 3: Cross multiply
    15,363.28x = 23,027.64 × 7,138
  4. Step 4: Simplify right side
    15,363.28x = 164,371,294.32
  5. Step 5: Solve for x
    x = 164,371,294.32/15,363.28
  6. Step 6: Final answer
    x = 10,698.97

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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.