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Finding the Fourth Proportional to 8,159.40, 12,239.10 and 6,847.20

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Solution

The fourth proportional to 8,159.40, 12,239.10 and 6,847.20 is: 10,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.40 : 12,239.10 = 6,847.20 : x
  2. Step 2: Convert to fraction form
    8,159.40/12,239.10 = 6,847.20/x
  3. Step 3: Cross multiply
    8,159.40x = 12,239.10 × 6,847.20
  4. Step 4: Simplify right side
    8,159.40x = 83,803,565.52
  5. Step 5: Solve for x
    x = 83,803,565.52/8,159.40
  6. Step 6: Final answer
    x = 10,270.80

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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.