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Finding the Fourth Proportional to 8,275.19, 11,419.79 and 4,498.38

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Solution

The fourth proportional to 8,275.19, 11,419.79 and 4,498.38 is: 6,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.19 : 11,419.79 = 4,498.38 : x
  2. Step 2: Convert to fraction form
    8,275.19/11,419.79 = 4,498.38/x
  3. Step 3: Cross multiply
    8,275.19x = 11,419.79 × 4,498.38
  4. Step 4: Simplify right side
    8,275.19x = 51,370,554.94
  5. Step 5: Solve for x
    x = 51,370,554.94/8,275.19
  6. Step 6: Final answer
    x = 6,207.78

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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.