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Finding the Fourth Proportional to 2,686.32, 3,722.05 and 2,628

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Solution

The fourth proportional to 2,686.32, 3,722.05 and 2,628 is: 3,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.32 : 3,722.05 = 2,628 : x
  2. Step 2: Convert to fraction form
    2,686.32/3,722.05 = 2,628/x
  3. Step 3: Cross multiply
    2,686.32x = 3,722.05 × 2,628
  4. Step 4: Simplify right side
    2,686.32x = 9,781,534.26
  5. Step 5: Solve for x
    x = 9,781,534.26/2,686.32
  6. Step 6: Final answer
    x = 3,641.24

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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.