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Finding the Fourth Proportional to 4,689.88, 6,486 and 4,191.73

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Solution

The fourth proportional to 4,689.88, 6,486 and 4,191.73 is: 5,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.88 : 6,486 = 4,191.73 : x
  2. Step 2: Convert to fraction form
    4,689.88/6,486 = 4,191.73/x
  3. Step 3: Cross multiply
    4,689.88x = 6,486 × 4,191.73
  4. Step 4: Simplify right side
    4,689.88x = 27,187,560.78
  5. Step 5: Solve for x
    x = 27,187,560.78/4,689.88
  6. Step 6: Final answer
    x = 5,797.07

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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.