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Finding the Fourth Proportional to 13,585, 20,369.92 and 4,697.68

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Solution

The fourth proportional to 13,585, 20,369.92 and 4,697.68 is: 7,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585 : 20,369.92 = 4,697.68 : x
  2. Step 2: Convert to fraction form
    13,585/20,369.92 = 4,697.68/x
  3. Step 3: Cross multiply
    13,585x = 20,369.92 × 4,697.68
  4. Step 4: Simplify right side
    13,585x = 95,691,365.79
  5. Step 5: Solve for x
    x = 95,691,365.79/13,585
  6. Step 6: Final answer
    x = 7,043.90

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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.