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Finding the Fourth Proportional to 26,374.32, 39,557.16 and 7,902

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Solution

The fourth proportional to 26,374.32, 39,557.16 and 7,902 is: 11,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,374.32 : 39,557.16 = 7,902 : x
  2. Step 2: Convert to fraction form
    26,374.32/39,557.16 = 7,902/x
  3. Step 3: Cross multiply
    26,374.32x = 39,557.16 × 7,902
  4. Step 4: Simplify right side
    26,374.32x = 312,580,678.32
  5. Step 5: Solve for x
    x = 312,580,678.32/26,374.32
  6. Step 6: Final answer
    x = 11,851.71

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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.