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Finding the Fourth Proportional to 12,560.78, 18,838.02 and 5,167.28

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Solution

The fourth proportional to 12,560.78, 18,838.02 and 5,167.28 is: 7,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.78 : 18,838.02 = 5,167.28 : x
  2. Step 2: Convert to fraction form
    12,560.78/18,838.02 = 5,167.28/x
  3. Step 3: Cross multiply
    12,560.78x = 18,838.02 × 5,167.28
  4. Step 4: Simplify right side
    12,560.78x = 97,341,323.99
  5. Step 5: Solve for x
    x = 97,341,323.99/12,560.78
  6. Step 6: Final answer
    x = 7,749.62

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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.