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Finding the Fourth Proportional to 3,142.95, 4,714.42 and 1,292.77

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Solution

The fourth proportional to 3,142.95, 4,714.42 and 1,292.77 is: 1,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.95 : 4,714.42 = 1,292.77 : x
  2. Step 2: Convert to fraction form
    3,142.95/4,714.42 = 1,292.77/x
  3. Step 3: Cross multiply
    3,142.95x = 4,714.42 × 1,292.77
  4. Step 4: Simplify right side
    3,142.95x = 6,094,660.74
  5. Step 5: Solve for x
    x = 6,094,660.74/3,142.95
  6. Step 6: Final answer
    x = 1,939.15

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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.