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Finding the Fourth Proportional to 7,171.76, 9,890.42 and 4,651.22

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Solution

The fourth proportional to 7,171.76, 9,890.42 and 4,651.22 is: 6,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.76 : 9,890.42 = 4,651.22 : x
  2. Step 2: Convert to fraction form
    7,171.76/9,890.42 = 4,651.22/x
  3. Step 3: Cross multiply
    7,171.76x = 9,890.42 × 4,651.22
  4. Step 4: Simplify right side
    7,171.76x = 46,002,519.31
  5. Step 5: Solve for x
    x = 46,002,519.31/7,171.76
  6. Step 6: Final answer
    x = 6,414.40

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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.