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Finding the Fourth Proportional to 8,151.88, 12,228.24 and 3,154.24

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Solution

The fourth proportional to 8,151.88, 12,228.24 and 3,154.24 is: 4,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.88 : 12,228.24 = 3,154.24 : x
  2. Step 2: Convert to fraction form
    8,151.88/12,228.24 = 3,154.24/x
  3. Step 3: Cross multiply
    8,151.88x = 12,228.24 × 3,154.24
  4. Step 4: Simplify right side
    8,151.88x = 38,570,803.74
  5. Step 5: Solve for x
    x = 38,570,803.74/8,151.88
  6. Step 6: Final answer
    x = 4,731.52

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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.