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Finding the Fourth Proportional to 5,939.78, 8,909.67 and 1,557.32

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Solution

The fourth proportional to 5,939.78, 8,909.67 and 1,557.32 is: 2,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.78 : 8,909.67 = 1,557.32 : x
  2. Step 2: Convert to fraction form
    5,939.78/8,909.67 = 1,557.32/x
  3. Step 3: Cross multiply
    5,939.78x = 8,909.67 × 1,557.32
  4. Step 4: Simplify right side
    5,939.78x = 13,875,162.74
  5. Step 5: Solve for x
    x = 13,875,162.74/5,939.78
  6. Step 6: Final answer
    x = 2,335.97

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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.