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Finding the Fourth Proportional to 13,590.55, 20,384.91 and 3,729

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Solution

The fourth proportional to 13,590.55, 20,384.91 and 3,729 is: 5,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.55 : 20,384.91 = 3,729 : x
  2. Step 2: Convert to fraction form
    13,590.55/20,384.91 = 3,729/x
  3. Step 3: Cross multiply
    13,590.55x = 20,384.91 × 3,729
  4. Step 4: Simplify right side
    13,590.55x = 76,015,329.39
  5. Step 5: Solve for x
    x = 76,015,329.39/13,590.55
  6. Step 6: Final answer
    x = 5,593.25

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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.