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Finding the Fourth Proportional to 7,312.70, 10,963.65 and 3,149.30

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Solution

The fourth proportional to 7,312.70, 10,963.65 and 3,149.30 is: 4,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.70 : 10,963.65 = 3,149.30 : x
  2. Step 2: Convert to fraction form
    7,312.70/10,963.65 = 3,149.30/x
  3. Step 3: Cross multiply
    7,312.70x = 10,963.65 × 3,149.30
  4. Step 4: Simplify right side
    7,312.70x = 34,527,822.95
  5. Step 5: Solve for x
    x = 34,527,822.95/7,312.70
  6. Step 6: Final answer
    x = 4,721.62

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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.