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Finding the Fourth Proportional to 8,157.80, 12,159.09 and 8,144.68

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Solution

The fourth proportional to 8,157.80, 12,159.09 and 8,144.68 is: 12,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.80 : 12,159.09 = 8,144.68 : x
  2. Step 2: Convert to fraction form
    8,157.80/12,159.09 = 8,144.68/x
  3. Step 3: Cross multiply
    8,157.80x = 12,159.09 × 8,144.68
  4. Step 4: Simplify right side
    8,157.80x = 99,031,897.14
  5. Step 5: Solve for x
    x = 99,031,897.14/8,157.80
  6. Step 6: Final answer
    x = 12,139.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.