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Finding the Fourth Proportional to 8,042.13, 12,065.63 and 5,420.16

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Solution

The fourth proportional to 8,042.13, 12,065.63 and 5,420.16 is: 8,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.13 : 12,065.63 = 5,420.16 : x
  2. Step 2: Convert to fraction form
    8,042.13/12,065.63 = 5,420.16/x
  3. Step 3: Cross multiply
    8,042.13x = 12,065.63 × 5,420.16
  4. Step 4: Simplify right side
    8,042.13x = 65,397,618
  5. Step 5: Solve for x
    x = 65,397,618/8,042.13
  6. Step 6: Final answer
    x = 8,131.88

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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.