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Finding the Fourth Proportional to 2,862.16, 4,288 and 2,402.88

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Solution

The fourth proportional to 2,862.16, 4,288 and 2,402.88 is: 3,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.16 : 4,288 = 2,402.88 : x
  2. Step 2: Convert to fraction form
    2,862.16/4,288 = 2,402.88/x
  3. Step 3: Cross multiply
    2,862.16x = 4,288 × 2,402.88
  4. Step 4: Simplify right side
    2,862.16x = 10,303,549.44
  5. Step 5: Solve for x
    x = 10,303,549.44/2,862.16
  6. Step 6: Final answer
    x = 3,599.92

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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.