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Finding the Fourth Proportional to 7,678.43, 11,438.39 and 7,446.11

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Solution

The fourth proportional to 7,678.43, 11,438.39 and 7,446.11 is: 11,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.43 : 11,438.39 = 7,446.11 : x
  2. Step 2: Convert to fraction form
    7,678.43/11,438.39 = 7,446.11/x
  3. Step 3: Cross multiply
    7,678.43x = 11,438.39 × 7,446.11
  4. Step 4: Simplify right side
    7,678.43x = 85,171,510.16
  5. Step 5: Solve for x
    x = 85,171,510.16/7,678.43
  6. Step 6: Final answer
    x = 11,092.32

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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.