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Finding the Fourth Proportional to 3,888.96, 5,827.52 and 2,585.76

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Solution

The fourth proportional to 3,888.96, 5,827.52 and 2,585.76 is: 3,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.96 : 5,827.52 = 2,585.76 : x
  2. Step 2: Convert to fraction form
    3,888.96/5,827.52 = 2,585.76/x
  3. Step 3: Cross multiply
    3,888.96x = 5,827.52 × 2,585.76
  4. Step 4: Simplify right side
    3,888.96x = 15,068,568.12
  5. Step 5: Solve for x
    x = 15,068,568.12/3,888.96
  6. Step 6: Final answer
    x = 3,874.70

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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.