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Finding the Fourth Proportional to 11,728.80, 16,177.32 and 7,533

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Solution

The fourth proportional to 11,728.80, 16,177.32 and 7,533 is: 10,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.80 : 16,177.32 = 7,533 : x
  2. Step 2: Convert to fraction form
    11,728.80/16,177.32 = 7,533/x
  3. Step 3: Cross multiply
    11,728.80x = 16,177.32 × 7,533
  4. Step 4: Simplify right side
    11,728.80x = 121,863,751.56
  5. Step 5: Solve for x
    x = 121,863,751.56/11,728.80
  6. Step 6: Final answer
    x = 10,390.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.