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Finding the Fourth Proportional to 7,641.38, 10,562.76 and 6,375.06

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Solution

The fourth proportional to 7,641.38, 10,562.76 and 6,375.06 is: 8,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.38 : 10,562.76 = 6,375.06 : x
  2. Step 2: Convert to fraction form
    7,641.38/10,562.76 = 6,375.06/x
  3. Step 3: Cross multiply
    7,641.38x = 10,562.76 × 6,375.06
  4. Step 4: Simplify right side
    7,641.38x = 67,338,228.77
  5. Step 5: Solve for x
    x = 67,338,228.77/7,641.38
  6. Step 6: Final answer
    x = 8,812.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.