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Finding the Fourth Proportional to 8,172.68, 11,242.90 and 7,159.82

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Solution

The fourth proportional to 8,172.68, 11,242.90 and 7,159.82 is: 9,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.68 : 11,242.90 = 7,159.82 : x
  2. Step 2: Convert to fraction form
    8,172.68/11,242.90 = 7,159.82/x
  3. Step 3: Cross multiply
    8,172.68x = 11,242.90 × 7,159.82
  4. Step 4: Simplify right side
    8,172.68x = 80,497,184.05
  5. Step 5: Solve for x
    x = 80,497,184.05/8,172.68
  6. Step 6: Final answer
    x = 9,849.55

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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.