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Finding the Fourth Proportional to 3,641.92, 5,023.20 and 2,382.40

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Solution

The fourth proportional to 3,641.92, 5,023.20 and 2,382.40 is: 3,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.92 : 5,023.20 = 2,382.40 : x
  2. Step 2: Convert to fraction form
    3,641.92/5,023.20 = 2,382.40/x
  3. Step 3: Cross multiply
    3,641.92x = 5,023.20 × 2,382.40
  4. Step 4: Simplify right side
    3,641.92x = 11,967,271.68
  5. Step 5: Solve for x
    x = 11,967,271.68/3,641.92
  6. Step 6: Final answer
    x = 3,285.98

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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.