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Finding the Fourth Proportional to 9,154.10, 13,724.92 and 2,912.24

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Solution

The fourth proportional to 9,154.10, 13,724.92 and 2,912.24 is: 4,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.10 : 13,724.92 = 2,912.24 : x
  2. Step 2: Convert to fraction form
    9,154.10/13,724.92 = 2,912.24/x
  3. Step 3: Cross multiply
    9,154.10x = 13,724.92 × 2,912.24
  4. Step 4: Simplify right side
    9,154.10x = 39,970,261.02
  5. Step 5: Solve for x
    x = 39,970,261.02/9,154.10
  6. Step 6: Final answer
    x = 4,366.38

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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.