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Finding the Fourth Proportional to 2,678.52, 3,712.14 and 2,637.54

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Solution

The fourth proportional to 2,678.52, 3,712.14 and 2,637.54 is: 3,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.52 : 3,712.14 = 2,637.54 : x
  2. Step 2: Convert to fraction form
    2,678.52/3,712.14 = 2,637.54/x
  3. Step 3: Cross multiply
    2,678.52x = 3,712.14 × 2,637.54
  4. Step 4: Simplify right side
    2,678.52x = 9,790,917.74
  5. Step 5: Solve for x
    x = 9,790,917.74/2,678.52
  6. Step 6: Final answer
    x = 3,655.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.