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Finding the Fourth Proportional to 10,211.88, 15,290.28 and 7,085.28

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Solution

The fourth proportional to 10,211.88, 15,290.28 and 7,085.28 is: 10,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.88 : 15,290.28 = 7,085.28 : x
  2. Step 2: Convert to fraction form
    10,211.88/15,290.28 = 7,085.28/x
  3. Step 3: Cross multiply
    10,211.88x = 15,290.28 × 7,085.28
  4. Step 4: Simplify right side
    10,211.88x = 108,335,915.08
  5. Step 5: Solve for x
    x = 108,335,915.08/10,211.88
  6. Step 6: Final answer
    x = 10,608.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.