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Finding the Fourth Proportional to 13,561.50, 20,342.61 and 4,327.50

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Solution

The fourth proportional to 13,561.50, 20,342.61 and 4,327.50 is: 6,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.50 : 20,342.61 = 4,327.50 : x
  2. Step 2: Convert to fraction form
    13,561.50/20,342.61 = 4,327.50/x
  3. Step 3: Cross multiply
    13,561.50x = 20,342.61 × 4,327.50
  4. Step 4: Simplify right side
    13,561.50x = 88,032,644.78
  5. Step 5: Solve for x
    x = 88,032,644.78/13,561.50
  6. Step 6: Final answer
    x = 6,491.36

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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.