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Finding the Fourth Proportional to 10,652.60, 15,978.90 and 2,862.20

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Solution

The fourth proportional to 10,652.60, 15,978.90 and 2,862.20 is: 4,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.60 : 15,978.90 = 2,862.20 : x
  2. Step 2: Convert to fraction form
    10,652.60/15,978.90 = 2,862.20/x
  3. Step 3: Cross multiply
    10,652.60x = 15,978.90 × 2,862.20
  4. Step 4: Simplify right side
    10,652.60x = 45,734,807.58
  5. Step 5: Solve for x
    x = 45,734,807.58/10,652.60
  6. Step 6: Final answer
    x = 4,293.30

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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.