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Finding the Fourth Proportional to 4,632, 6,392.19 and 2,642.54

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Solution

The fourth proportional to 4,632, 6,392.19 and 2,642.54 is: 3,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632 : 6,392.19 = 2,642.54 : x
  2. Step 2: Convert to fraction form
    4,632/6,392.19 = 2,642.54/x
  3. Step 3: Cross multiply
    4,632x = 6,392.19 × 2,642.54
  4. Step 4: Simplify right side
    4,632x = 16,891,585.80
  5. Step 5: Solve for x
    x = 16,891,585.80/4,632
  6. Step 6: Final answer
    x = 3,646.72

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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.