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Finding the Fourth Proportional to 11,642.64, 17,472.41 and 8,728.80

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Solution

The fourth proportional to 11,642.64, 17,472.41 and 8,728.80 is: 13,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.64 : 17,472.41 = 8,728.80 : x
  2. Step 2: Convert to fraction form
    11,642.64/17,472.41 = 8,728.80/x
  3. Step 3: Cross multiply
    11,642.64x = 17,472.41 × 8,728.80
  4. Step 4: Simplify right side
    11,642.64x = 152,513,172.41
  5. Step 5: Solve for x
    x = 152,513,172.41/11,642.64
  6. Step 6: Final answer
    x = 13,099.54

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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.