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Finding the Fourth Proportional to 11,657.28, 17,455.20 and 8,923.20

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Solution

The fourth proportional to 11,657.28, 17,455.20 and 8,923.20 is: 13,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.28 : 17,455.20 = 8,923.20 : x
  2. Step 2: Convert to fraction form
    11,657.28/17,455.20 = 8,923.20/x
  3. Step 3: Cross multiply
    11,657.28x = 17,455.20 × 8,923.20
  4. Step 4: Simplify right side
    11,657.28x = 155,756,240.64
  5. Step 5: Solve for x
    x = 155,756,240.64/11,657.28
  6. Step 6: Final answer
    x = 13,361.29

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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.