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Finding the Fourth Proportional to 5,142.69, 7,714.08 and 4,052.88

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Solution

The fourth proportional to 5,142.69, 7,714.08 and 4,052.88 is: 6,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.69 : 7,714.08 = 4,052.88 : x
  2. Step 2: Convert to fraction form
    5,142.69/7,714.08 = 4,052.88/x
  3. Step 3: Cross multiply
    5,142.69x = 7,714.08 × 4,052.88
  4. Step 4: Simplify right side
    5,142.69x = 31,264,240.55
  5. Step 5: Solve for x
    x = 31,264,240.55/5,142.69
  6. Step 6: Final answer
    x = 6,079.36

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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.