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Finding the Fourth Proportional to 10,085.76, 13,921.38 and 6,549.48

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Solution

The fourth proportional to 10,085.76, 13,921.38 and 6,549.48 is: 9,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.76 : 13,921.38 = 6,549.48 : x
  2. Step 2: Convert to fraction form
    10,085.76/13,921.38 = 6,549.48/x
  3. Step 3: Cross multiply
    10,085.76x = 13,921.38 × 6,549.48
  4. Step 4: Simplify right side
    10,085.76x = 91,177,799.88
  5. Step 5: Solve for x
    x = 91,177,799.88/10,085.76
  6. Step 6: Final answer
    x = 9,040.25

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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.