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Finding the Fourth Proportional to 10,545.78, 15,771.05 and 8,047.74

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Solution

The fourth proportional to 10,545.78, 15,771.05 and 8,047.74 is: 12,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.78 : 15,771.05 = 8,047.74 : x
  2. Step 2: Convert to fraction form
    10,545.78/15,771.05 = 8,047.74/x
  3. Step 3: Cross multiply
    10,545.78x = 15,771.05 × 8,047.74
  4. Step 4: Simplify right side
    10,545.78x = 126,921,309.93
  5. Step 5: Solve for x
    x = 126,921,309.93/10,545.78
  6. Step 6: Final answer
    x = 12,035.27

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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.