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Finding the Fourth Proportional to 8,309.76, 12,448.64 and 6,545.42

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Solution

The fourth proportional to 8,309.76, 12,448.64 and 6,545.42 is: 9,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.76 : 12,448.64 = 6,545.42 : x
  2. Step 2: Convert to fraction form
    8,309.76/12,448.64 = 6,545.42/x
  3. Step 3: Cross multiply
    8,309.76x = 12,448.64 × 6,545.42
  4. Step 4: Simplify right side
    8,309.76x = 81,481,577.23
  5. Step 5: Solve for x
    x = 81,481,577.23/8,309.76
  6. Step 6: Final answer
    x = 9,805.53

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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.