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Finding the Fourth Proportional to 3,397.96, 4,689.11 and 1,864.86

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Solution

The fourth proportional to 3,397.96, 4,689.11 and 1,864.86 is: 2,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.96 : 4,689.11 = 1,864.86 : x
  2. Step 2: Convert to fraction form
    3,397.96/4,689.11 = 1,864.86/x
  3. Step 3: Cross multiply
    3,397.96x = 4,689.11 × 1,864.86
  4. Step 4: Simplify right side
    3,397.96x = 8,744,524.35
  5. Step 5: Solve for x
    x = 8,744,524.35/3,397.96
  6. Step 6: Final answer
    x = 2,573.47

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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.