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Finding the Fourth Proportional to 2,886.64, 3,981.96 and 2,002.96

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Solution

The fourth proportional to 2,886.64, 3,981.96 and 2,002.96 is: 2,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.64 : 3,981.96 = 2,002.96 : x
  2. Step 2: Convert to fraction form
    2,886.64/3,981.96 = 2,002.96/x
  3. Step 3: Cross multiply
    2,886.64x = 3,981.96 × 2,002.96
  4. Step 4: Simplify right side
    2,886.64x = 7,975,706.60
  5. Step 5: Solve for x
    x = 7,975,706.60/2,886.64
  6. Step 6: Final answer
    x = 2,762.97

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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.