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Finding the Fourth Proportional to 13,545.88, 20,319 and 4,185.78

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Solution

The fourth proportional to 13,545.88, 20,319 and 4,185.78 is: 6,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.88 : 20,319 = 4,185.78 : x
  2. Step 2: Convert to fraction form
    13,545.88/20,319 = 4,185.78/x
  3. Step 3: Cross multiply
    13,545.88x = 20,319 × 4,185.78
  4. Step 4: Simplify right side
    13,545.88x = 85,050,863.82
  5. Step 5: Solve for x
    x = 85,050,863.82/13,545.88
  6. Step 6: Final answer
    x = 6,278.73

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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.