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Finding the Fourth Proportional to 7,730.17, 11,562.73 and 7,169.30

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Solution

The fourth proportional to 7,730.17, 11,562.73 and 7,169.30 is: 10,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.17 : 11,562.73 = 7,169.30 : x
  2. Step 2: Convert to fraction form
    7,730.17/11,562.73 = 7,169.30/x
  3. Step 3: Cross multiply
    7,730.17x = 11,562.73 × 7,169.30
  4. Step 4: Simplify right side
    7,730.17x = 82,896,680.19
  5. Step 5: Solve for x
    x = 82,896,680.19/7,730.17
  6. Step 6: Final answer
    x = 10,723.78

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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.