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Finding the Fourth Proportional to 13,541, 20,311.32 and 3,545.72

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Solution

The fourth proportional to 13,541, 20,311.32 and 3,545.72 is: 5,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541 : 20,311.32 = 3,545.72 : x
  2. Step 2: Convert to fraction form
    13,541/20,311.32 = 3,545.72/x
  3. Step 3: Cross multiply
    13,541x = 20,311.32 × 3,545.72
  4. Step 4: Simplify right side
    13,541x = 72,018,253.55
  5. Step 5: Solve for x
    x = 72,018,253.55/13,541
  6. Step 6: Final answer
    x = 5,318.53

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1.5x scale

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.