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Finding the Fourth Proportional to 10,882, 15,020.37 and 7,105.75

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Solution

The fourth proportional to 10,882, 15,020.37 and 7,105.75 is: 9,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882 : 15,020.37 = 7,105.75 : x
  2. Step 2: Convert to fraction form
    10,882/15,020.37 = 7,105.75/x
  3. Step 3: Cross multiply
    10,882x = 15,020.37 × 7,105.75
  4. Step 4: Simplify right side
    10,882x = 106,730,994.13
  5. Step 5: Solve for x
    x = 106,730,994.13/10,882
  6. Step 6: Final answer
    x = 9,808.03

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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.