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Finding the Fourth Proportional to 7,678.92, 11,439.14 and 7,446.61

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Solution

The fourth proportional to 7,678.92, 11,439.14 and 7,446.61 is: 11,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.92 : 11,439.14 = 7,446.61 : x
  2. Step 2: Convert to fraction form
    7,678.92/11,439.14 = 7,446.61/x
  3. Step 3: Cross multiply
    7,678.92x = 11,439.14 × 7,446.61
  4. Step 4: Simplify right side
    7,678.92x = 85,182,814.32
  5. Step 5: Solve for x
    x = 85,182,814.32/7,678.92
  6. Step 6: Final answer
    x = 11,093.07

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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.