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Finding the Fourth Proportional to 11,728.40, 17,600.70 and 8,444.30

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Solution

The fourth proportional to 11,728.40, 17,600.70 and 8,444.30 is: 12,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.40 : 17,600.70 = 8,444.30 : x
  2. Step 2: Convert to fraction form
    11,728.40/17,600.70 = 8,444.30/x
  3. Step 3: Cross multiply
    11,728.40x = 17,600.70 × 8,444.30
  4. Step 4: Simplify right side
    11,728.40x = 148,625,591.01
  5. Step 5: Solve for x
    x = 148,625,591.01/11,728.40
  6. Step 6: Final answer
    x = 12,672.28

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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.