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Finding the Fourth Proportional to 2,718.59, 3,751.85 and 1,539.77

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Solution

The fourth proportional to 2,718.59, 3,751.85 and 1,539.77 is: 2,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.59 : 3,751.85 = 1,539.77 : x
  2. Step 2: Convert to fraction form
    2,718.59/3,751.85 = 1,539.77/x
  3. Step 3: Cross multiply
    2,718.59x = 3,751.85 × 1,539.77
  4. Step 4: Simplify right side
    2,718.59x = 5,776,978.38
  5. Step 5: Solve for x
    x = 5,776,978.38/2,718.59
  6. Step 6: Final answer
    x = 2,124.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.