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Finding the Fourth Proportional to 8,042.55, 12,047.28 and 3,870.24

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Solution

The fourth proportional to 8,042.55, 12,047.28 and 3,870.24 is: 5,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.55 : 12,047.28 = 3,870.24 : x
  2. Step 2: Convert to fraction form
    8,042.55/12,047.28 = 3,870.24/x
  3. Step 3: Cross multiply
    8,042.55x = 12,047.28 × 3,870.24
  4. Step 4: Simplify right side
    8,042.55x = 46,625,864.95
  5. Step 5: Solve for x
    x = 46,625,864.95/8,042.55
  6. Step 6: Final answer
    x = 5,797.40

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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.