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Finding the Fourth Proportional to 2,752.62, 4,121.63 and 1,655.47

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Solution

The fourth proportional to 2,752.62, 4,121.63 and 1,655.47 is: 2,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.62 : 4,121.63 = 1,655.47 : x
  2. Step 2: Convert to fraction form
    2,752.62/4,121.63 = 1,655.47/x
  3. Step 3: Cross multiply
    2,752.62x = 4,121.63 × 1,655.47
  4. Step 4: Simplify right side
    2,752.62x = 6,823,234.82
  5. Step 5: Solve for x
    x = 6,823,234.82/2,752.62
  6. Step 6: Final answer
    x = 2,478.81

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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.