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Finding the Fourth Proportional to 9,610, 13,254.92 and 6,246.54

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Solution

The fourth proportional to 9,610, 13,254.92 and 6,246.54 is: 8,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610 : 13,254.92 = 6,246.54 : x
  2. Step 2: Convert to fraction form
    9,610/13,254.92 = 6,246.54/x
  3. Step 3: Cross multiply
    9,610x = 13,254.92 × 6,246.54
  4. Step 4: Simplify right side
    9,610x = 82,797,387.98
  5. Step 5: Solve for x
    x = 82,797,387.98/9,610
  6. Step 6: Final answer
    x = 8,615.75

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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.