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Finding the Fourth Proportional to 6,545.60, 9,767.92 and 5,393.60

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Solution

The fourth proportional to 6,545.60, 9,767.92 and 5,393.60 is: 8,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.60 : 9,767.92 = 5,393.60 : x
  2. Step 2: Convert to fraction form
    6,545.60/9,767.92 = 5,393.60/x
  3. Step 3: Cross multiply
    6,545.60x = 9,767.92 × 5,393.60
  4. Step 4: Simplify right side
    6,545.60x = 52,684,253.31
  5. Step 5: Solve for x
    x = 52,684,253.31/6,545.60
  6. Step 6: Final answer
    x = 8,048.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.