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Finding the Fourth Proportional to 2,686.92, 4,033.84 and 2,071.06

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Solution

The fourth proportional to 2,686.92, 4,033.84 and 2,071.06 is: 3,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.92 : 4,033.84 = 2,071.06 : x
  2. Step 2: Convert to fraction form
    2,686.92/4,033.84 = 2,071.06/x
  3. Step 3: Cross multiply
    2,686.92x = 4,033.84 × 2,071.06
  4. Step 4: Simplify right side
    2,686.92x = 8,354,324.67
  5. Step 5: Solve for x
    x = 8,354,324.67/2,686.92
  6. Step 6: Final answer
    x = 3,109.26

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1.5x scale

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.