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Finding the Fourth Proportional to 3,139.86, 4,706.70 and 1,753.86

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Solution

The fourth proportional to 3,139.86, 4,706.70 and 1,753.86 is: 2,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.86 : 4,706.70 = 1,753.86 : x
  2. Step 2: Convert to fraction form
    3,139.86/4,706.70 = 1,753.86/x
  3. Step 3: Cross multiply
    3,139.86x = 4,706.70 × 1,753.86
  4. Step 4: Simplify right side
    3,139.86x = 8,254,892.86
  5. Step 5: Solve for x
    x = 8,254,892.86/3,139.86
  6. Step 6: Final answer
    x = 2,629.06

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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.