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Finding the Fourth Proportional to 2,867.60, 4,301.40 and 2,381.60

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Solution

The fourth proportional to 2,867.60, 4,301.40 and 2,381.60 is: 3,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.60 : 4,301.40 = 2,381.60 : x
  2. Step 2: Convert to fraction form
    2,867.60/4,301.40 = 2,381.60/x
  3. Step 3: Cross multiply
    2,867.60x = 4,301.40 × 2,381.60
  4. Step 4: Simplify right side
    2,867.60x = 10,244,214.24
  5. Step 5: Solve for x
    x = 10,244,214.24/2,867.60
  6. Step 6: Final answer
    x = 3,572.40

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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.