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Finding the Fourth Proportional to 2,862.45, 4,287.60 and 2,862.45

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Solution

The fourth proportional to 2,862.45, 4,287.60 and 2,862.45 is: 4,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.45 : 4,287.60 = 2,862.45 : x
  2. Step 2: Convert to fraction form
    2,862.45/4,287.60 = 2,862.45/x
  3. Step 3: Cross multiply
    2,862.45x = 4,287.60 × 2,862.45
  4. Step 4: Simplify right side
    2,862.45x = 12,273,040.62
  5. Step 5: Solve for x
    x = 12,273,040.62/2,862.45
  6. Step 6: Final answer
    x = 4,287.60

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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.