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Finding the Fourth Proportional to 3,873.92, 5,346.72 and 2,302.88

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Solution

The fourth proportional to 3,873.92, 5,346.72 and 2,302.88 is: 3,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.92 : 5,346.72 = 2,302.88 : x
  2. Step 2: Convert to fraction form
    3,873.92/5,346.72 = 2,302.88/x
  3. Step 3: Cross multiply
    3,873.92x = 5,346.72 × 2,302.88
  4. Step 4: Simplify right side
    3,873.92x = 12,312,854.55
  5. Step 5: Solve for x
    x = 12,312,854.55/3,873.92
  6. Step 6: Final answer
    x = 3,178.40

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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.