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Finding the Fourth Proportional to 9,996.78, 13,780.13 and 7,167.35

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Solution

The fourth proportional to 9,996.78, 13,780.13 and 7,167.35 is: 9,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.78 : 13,780.13 = 7,167.35 : x
  2. Step 2: Convert to fraction form
    9,996.78/13,780.13 = 7,167.35/x
  3. Step 3: Cross multiply
    9,996.78x = 13,780.13 × 7,167.35
  4. Step 4: Simplify right side
    9,996.78x = 98,767,013.37
  5. Step 5: Solve for x
    x = 98,767,013.37/9,996.78
  6. Step 6: Final answer
    x = 9,879.88

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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.