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Finding the Fourth Proportional to 9,851.92, 13,576.08 and 9,729.28

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Solution

The fourth proportional to 9,851.92, 13,576.08 and 9,729.28 is: 13,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.92 : 13,576.08 = 9,729.28 : x
  2. Step 2: Convert to fraction form
    9,851.92/13,576.08 = 9,729.28/x
  3. Step 3: Cross multiply
    9,851.92x = 13,576.08 × 9,729.28
  4. Step 4: Simplify right side
    9,851.92x = 132,085,483.62
  5. Step 5: Solve for x
    x = 132,085,483.62/9,851.92
  6. Step 6: Final answer
    x = 13,407.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.