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Finding the Fourth Proportional to 12,923.28, 17,820 and 8,724.24

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Solution

The fourth proportional to 12,923.28, 17,820 and 8,724.24 is: 12,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.28 : 17,820 = 8,724.24 : x
  2. Step 2: Convert to fraction form
    12,923.28/17,820 = 8,724.24/x
  3. Step 3: Cross multiply
    12,923.28x = 17,820 × 8,724.24
  4. Step 4: Simplify right side
    12,923.28x = 155,465,956.80
  5. Step 5: Solve for x
    x = 155,465,956.80/12,923.28
  6. Step 6: Final answer
    x = 12,029.91

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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.