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Finding the Fourth Proportional to 4,641.49, 6,956.16 and 3,987.82

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Solution

The fourth proportional to 4,641.49, 6,956.16 and 3,987.82 is: 5,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.49 : 6,956.16 = 3,987.82 : x
  2. Step 2: Convert to fraction form
    4,641.49/6,956.16 = 3,987.82/x
  3. Step 3: Cross multiply
    4,641.49x = 6,956.16 × 3,987.82
  4. Step 4: Simplify right side
    4,641.49x = 27,739,913.97
  5. Step 5: Solve for x
    x = 27,739,913.97/4,641.49
  6. Step 6: Final answer
    x = 5,976.51

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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.