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Finding the Fourth Proportional to 7,602.80, 11,366.70 and 6,445.71

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Solution

The fourth proportional to 7,602.80, 11,366.70 and 6,445.71 is: 9,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.80 : 11,366.70 = 6,445.71 : x
  2. Step 2: Convert to fraction form
    7,602.80/11,366.70 = 6,445.71/x
  3. Step 3: Cross multiply
    7,602.80x = 11,366.70 × 6,445.71
  4. Step 4: Simplify right side
    7,602.80x = 73,266,451.86
  5. Step 5: Solve for x
    x = 73,266,451.86/7,602.80
  6. Step 6: Final answer
    x = 9,636.78

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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.