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Finding the Fourth Proportional to 25,916.86, 38,873.93 and 8,385.32

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Solution

The fourth proportional to 25,916.86, 38,873.93 and 8,385.32 is: 12,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,916.86 : 38,873.93 = 8,385.32 : x
  2. Step 2: Convert to fraction form
    25,916.86/38,873.93 = 8,385.32/x
  3. Step 3: Cross multiply
    25,916.86x = 38,873.93 × 8,385.32
  4. Step 4: Simplify right side
    25,916.86x = 325,970,397.97
  5. Step 5: Solve for x
    x = 325,970,397.97/25,916.86
  6. Step 6: Final answer
    x = 12,577.54

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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.