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Finding the Fourth Proportional to 2,652.67, 3,978.49 and 2,520.95

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Solution

The fourth proportional to 2,652.67, 3,978.49 and 2,520.95 is: 3,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.67 : 3,978.49 = 2,520.95 : x
  2. Step 2: Convert to fraction form
    2,652.67/3,978.49 = 2,520.95/x
  3. Step 3: Cross multiply
    2,652.67x = 3,978.49 × 2,520.95
  4. Step 4: Simplify right side
    2,652.67x = 10,029,561.76
  5. Step 5: Solve for x
    x = 10,029,561.76/2,652.67
  6. Step 6: Final answer
    x = 3,780.94

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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.