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Finding the Fourth Proportional to 18,640.32, 25,724.16 and 10,257.60

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Solution

The fourth proportional to 18,640.32, 25,724.16 and 10,257.60 is: 14,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640.32 : 25,724.16 = 10,257.60 : x
  2. Step 2: Convert to fraction form
    18,640.32/25,724.16 = 10,257.60/x
  3. Step 3: Cross multiply
    18,640.32x = 25,724.16 × 10,257.60
  4. Step 4: Simplify right side
    18,640.32x = 263,868,143.62
  5. Step 5: Solve for x
    x = 263,868,143.62/18,640.32
  6. Step 6: Final answer
    x = 14,155.77

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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.