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Finding the Fourth Proportional to 2,689.68, 3,706.92 and 1,989.84

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Solution

The fourth proportional to 2,689.68, 3,706.92 and 1,989.84 is: 2,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.68 : 3,706.92 = 1,989.84 : x
  2. Step 2: Convert to fraction form
    2,689.68/3,706.92 = 1,989.84/x
  3. Step 3: Cross multiply
    2,689.68x = 3,706.92 × 1,989.84
  4. Step 4: Simplify right side
    2,689.68x = 7,376,177.69
  5. Step 5: Solve for x
    x = 7,376,177.69/2,689.68
  6. Step 6: Final answer
    x = 2,742.40

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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.