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Finding the Fourth Proportional to 8,037.80, 12,070.08 and 5,422.14

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Solution

The fourth proportional to 8,037.80, 12,070.08 and 5,422.14 is: 8,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.80 : 12,070.08 = 5,422.14 : x
  2. Step 2: Convert to fraction form
    8,037.80/12,070.08 = 5,422.14/x
  3. Step 3: Cross multiply
    8,037.80x = 12,070.08 × 5,422.14
  4. Step 4: Simplify right side
    8,037.80x = 65,445,663.57
  5. Step 5: Solve for x
    x = 65,445,663.57/8,037.80
  6. Step 6: Final answer
    x = 8,142.24

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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.