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Finding the Fourth Proportional to 10,259.78, 15,374.26 and 7,916.27

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Solution

The fourth proportional to 10,259.78, 15,374.26 and 7,916.27 is: 11,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.78 : 15,374.26 = 7,916.27 : x
  2. Step 2: Convert to fraction form
    10,259.78/15,374.26 = 7,916.27/x
  3. Step 3: Cross multiply
    10,259.78x = 15,374.26 × 7,916.27
  4. Step 4: Simplify right side
    10,259.78x = 121,706,793.21
  5. Step 5: Solve for x
    x = 121,706,793.21/10,259.78
  6. Step 6: Final answer
    x = 11,862.51

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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.