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Finding the Fourth Proportional to 5,714.97, 7,889.04 and 4,142.76

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Solution

The fourth proportional to 5,714.97, 7,889.04 and 4,142.76 is: 5,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.97 : 7,889.04 = 4,142.76 : x
  2. Step 2: Convert to fraction form
    5,714.97/7,889.04 = 4,142.76/x
  3. Step 3: Cross multiply
    5,714.97x = 7,889.04 × 4,142.76
  4. Step 4: Simplify right side
    5,714.97x = 32,682,399.35
  5. Step 5: Solve for x
    x = 32,682,399.35/5,714.97
  6. Step 6: Final answer
    x = 5,718.74

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.