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Finding the Fourth Proportional to 2,752.47, 4,129.73 and 1,109.48

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Solution

The fourth proportional to 2,752.47, 4,129.73 and 1,109.48 is: 1,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.47 : 4,129.73 = 1,109.48 : x
  2. Step 2: Convert to fraction form
    2,752.47/4,129.73 = 1,109.48/x
  3. Step 3: Cross multiply
    2,752.47x = 4,129.73 × 1,109.48
  4. Step 4: Simplify right side
    2,752.47x = 4,581,865.94
  5. Step 5: Solve for x
    x = 4,581,865.94/2,752.47
  6. Step 6: Final answer
    x = 1,664.64

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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.