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Finding the Fourth Proportional to 8,419, 11,618.22 and 4,693

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Solution

The fourth proportional to 8,419, 11,618.22 and 4,693 is: 6,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419 : 11,618.22 = 4,693 : x
  2. Step 2: Convert to fraction form
    8,419/11,618.22 = 4,693/x
  3. Step 3: Cross multiply
    8,419x = 11,618.22 × 4,693
  4. Step 4: Simplify right side
    8,419x = 54,524,306.46
  5. Step 5: Solve for x
    x = 54,524,306.46/8,419
  6. Step 6: Final answer
    x = 6,476.34

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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.