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Finding the Fourth Proportional to 13,149.24, 19,724.04 and 7,342.80

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Solution

The fourth proportional to 13,149.24, 19,724.04 and 7,342.80 is: 11,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.24 : 19,724.04 = 7,342.80 : x
  2. Step 2: Convert to fraction form
    13,149.24/19,724.04 = 7,342.80/x
  3. Step 3: Cross multiply
    13,149.24x = 19,724.04 × 7,342.80
  4. Step 4: Simplify right side
    13,149.24x = 144,829,680.91
  5. Step 5: Solve for x
    x = 144,829,680.91/13,149.24
  6. Step 6: Final answer
    x = 11,014.30

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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.