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Finding the Fourth Proportional to 3,689.80, 5,091.88 and 2,117.88

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Solution

The fourth proportional to 3,689.80, 5,091.88 and 2,117.88 is: 2,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.80 : 5,091.88 = 2,117.88 : x
  2. Step 2: Convert to fraction form
    3,689.80/5,091.88 = 2,117.88/x
  3. Step 3: Cross multiply
    3,689.80x = 5,091.88 × 2,117.88
  4. Step 4: Simplify right side
    3,689.80x = 10,783,990.81
  5. Step 5: Solve for x
    x = 10,783,990.81/3,689.80
  6. Step 6: Final answer
    x = 2,922.65

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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.