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Finding the Fourth Proportional to 2,652.38, 3,978.59 and 1,679.16

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Solution

The fourth proportional to 2,652.38, 3,978.59 and 1,679.16 is: 2,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.38 : 3,978.59 = 1,679.16 : x
  2. Step 2: Convert to fraction form
    2,652.38/3,978.59 = 1,679.16/x
  3. Step 3: Cross multiply
    2,652.38x = 3,978.59 × 1,679.16
  4. Step 4: Simplify right side
    2,652.38x = 6,680,695.71
  5. Step 5: Solve for x
    x = 6,680,695.71/2,652.38
  6. Step 6: Final answer
    x = 2,518.76

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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.