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Finding the Fourth Proportional to 13,559.52, 20,322 and 6,543.84

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Solution

The fourth proportional to 13,559.52, 20,322 and 6,543.84 is: 9,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,559.52 : 20,322 = 6,543.84 : x
  2. Step 2: Convert to fraction form
    13,559.52/20,322 = 6,543.84/x
  3. Step 3: Cross multiply
    13,559.52x = 20,322 × 6,543.84
  4. Step 4: Simplify right side
    13,559.52x = 132,983,916.48
  5. Step 5: Solve for x
    x = 132,983,916.48/13,559.52
  6. Step 6: Final answer
    x = 9,807.42

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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.