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Finding the Fourth Proportional to 3,141.40, 4,706.70 and 2,655.40

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Solution

The fourth proportional to 3,141.40, 4,706.70 and 2,655.40 is: 3,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.40 : 4,706.70 = 2,655.40 : x
  2. Step 2: Convert to fraction form
    3,141.40/4,706.70 = 2,655.40/x
  3. Step 3: Cross multiply
    3,141.40x = 4,706.70 × 2,655.40
  4. Step 4: Simplify right side
    3,141.40x = 12,498,171.18
  5. Step 5: Solve for x
    x = 12,498,171.18/3,141.40
  6. Step 6: Final answer
    x = 3,978.54

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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.