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Finding the Fourth Proportional to 8,066, 12,162.38 and 6,545.36

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Solution

The fourth proportional to 8,066, 12,162.38 and 6,545.36 is: 9,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066 : 12,162.38 = 6,545.36 : x
  2. Step 2: Convert to fraction form
    8,066/12,162.38 = 6,545.36/x
  3. Step 3: Cross multiply
    8,066x = 12,162.38 × 6,545.36
  4. Step 4: Simplify right side
    8,066x = 79,607,155.56
  5. Step 5: Solve for x
    x = 79,607,155.56/8,066
  6. Step 6: Final answer
    x = 9,869.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.