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Finding the Fourth Proportional to 32,909.78, 49,370.79 and 13,189.87

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Solution

The fourth proportional to 32,909.78, 49,370.79 and 13,189.87 is: 19,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,909.78 : 49,370.79 = 13,189.87 : x
  2. Step 2: Convert to fraction form
    32,909.78/49,370.79 = 13,189.87/x
  3. Step 3: Cross multiply
    32,909.78x = 49,370.79 × 13,189.87
  4. Step 4: Simplify right side
    32,909.78x = 651,194,301.90
  5. Step 5: Solve for x
    x = 651,194,301.90/32,909.78
  6. Step 6: Final answer
    x = 19,787.26

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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.