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Finding the Fourth Proportional to 3,874.08, 5,306.04 and 3,646.78

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Solution

The fourth proportional to 3,874.08, 5,306.04 and 3,646.78 is: 4,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.08 : 5,306.04 = 3,646.78 : x
  2. Step 2: Convert to fraction form
    3,874.08/5,306.04 = 3,646.78/x
  3. Step 3: Cross multiply
    3,874.08x = 5,306.04 × 3,646.78
  4. Step 4: Simplify right side
    3,874.08x = 19,349,947.29
  5. Step 5: Solve for x
    x = 19,349,947.29/3,874.08
  6. Step 6: Final answer
    x = 4,994.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.