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Finding the Fourth Proportional to 11,615.38, 16,031.55 and 6,898.75

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Solution

The fourth proportional to 11,615.38, 16,031.55 and 6,898.75 is: 9,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.38 : 16,031.55 = 6,898.75 : x
  2. Step 2: Convert to fraction form
    11,615.38/16,031.55 = 6,898.75/x
  3. Step 3: Cross multiply
    11,615.38x = 16,031.55 × 6,898.75
  4. Step 4: Simplify right side
    11,615.38x = 110,597,641.35
  5. Step 5: Solve for x
    x = 110,597,641.35/11,615.38
  6. Step 6: Final answer
    x = 9,521.66

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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.