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Finding the Fourth Proportional to 7,678.59, 11,522.13 and 7,120.90

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Solution

The fourth proportional to 7,678.59, 11,522.13 and 7,120.90 is: 10,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.59 : 11,522.13 = 7,120.90 : x
  2. Step 2: Convert to fraction form
    7,678.59/11,522.13 = 7,120.90/x
  3. Step 3: Cross multiply
    7,678.59x = 11,522.13 × 7,120.90
  4. Step 4: Simplify right side
    7,678.59x = 82,047,935.52
  5. Step 5: Solve for x
    x = 82,047,935.52/7,678.59
  6. Step 6: Final answer
    x = 10,685.29

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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.