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Finding the Fourth Proportional to 11,615.70, 16,031.04 and 6,900

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Solution

The fourth proportional to 11,615.70, 16,031.04 and 6,900 is: 9,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.70 : 16,031.04 = 6,900 : x
  2. Step 2: Convert to fraction form
    11,615.70/16,031.04 = 6,900/x
  3. Step 3: Cross multiply
    11,615.70x = 16,031.04 × 6,900
  4. Step 4: Simplify right side
    11,615.70x = 110,614,176
  5. Step 5: Solve for x
    x = 110,614,176/11,615.70
  6. Step 6: Final answer
    x = 9,522.82

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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.