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Finding the Fourth Proportional to 2,752.61, 4,129.92 and 1,519.70

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Solution

The fourth proportional to 2,752.61, 4,129.92 and 1,519.70 is: 2,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.61 : 4,129.92 = 1,519.70 : x
  2. Step 2: Convert to fraction form
    2,752.61/4,129.92 = 1,519.70/x
  3. Step 3: Cross multiply
    2,752.61x = 4,129.92 × 1,519.70
  4. Step 4: Simplify right side
    2,752.61x = 6,276,218.77
  5. Step 5: Solve for x
    x = 6,276,218.77/2,752.61
  6. Step 6: Final answer
    x = 2,280.10

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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.