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Finding the Fourth Proportional to 2,712.74, 3,751.47 and 2,663.55

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Solution

The fourth proportional to 2,712.74, 3,751.47 and 2,663.55 is: 3,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.74 : 3,751.47 = 2,663.55 : x
  2. Step 2: Convert to fraction form
    2,712.74/3,751.47 = 2,663.55/x
  3. Step 3: Cross multiply
    2,712.74x = 3,751.47 × 2,663.55
  4. Step 4: Simplify right side
    2,712.74x = 9,992,227.92
  5. Step 5: Solve for x
    x = 9,992,227.92/2,712.74
  6. Step 6: Final answer
    x = 3,683.45

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1.5x scale

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.