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Finding the Fourth Proportional to 13,707.52, 20,561.67 and 4,347.58

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Solution

The fourth proportional to 13,707.52, 20,561.67 and 4,347.58 is: 6,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.52 : 20,561.67 = 4,347.58 : x
  2. Step 2: Convert to fraction form
    13,707.52/20,561.67 = 4,347.58/x
  3. Step 3: Cross multiply
    13,707.52x = 20,561.67 × 4,347.58
  4. Step 4: Simplify right side
    13,707.52x = 89,393,505.26
  5. Step 5: Solve for x
    x = 89,393,505.26/13,707.52
  6. Step 6: Final answer
    x = 6,521.49

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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.