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Finding the Fourth Proportional to 11,306.70, 15,615.45 and 8,818.38

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Solution

The fourth proportional to 11,306.70, 15,615.45 and 8,818.38 is: 12,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.70 : 15,615.45 = 8,818.38 : x
  2. Step 2: Convert to fraction form
    11,306.70/15,615.45 = 8,818.38/x
  3. Step 3: Cross multiply
    11,306.70x = 15,615.45 × 8,818.38
  4. Step 4: Simplify right side
    11,306.70x = 137,702,971.97
  5. Step 5: Solve for x
    x = 137,702,971.97/11,306.70
  6. Step 6: Final answer
    x = 12,178.88

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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.