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Finding the Fourth Proportional to 11,410.32, 15,745.48 and 6,442

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Solution

The fourth proportional to 11,410.32, 15,745.48 and 6,442 is: 8,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.32 : 15,745.48 = 6,442 : x
  2. Step 2: Convert to fraction form
    11,410.32/15,745.48 = 6,442/x
  3. Step 3: Cross multiply
    11,410.32x = 15,745.48 × 6,442
  4. Step 4: Simplify right side
    11,410.32x = 101,432,382.16
  5. Step 5: Solve for x
    x = 101,432,382.16/11,410.32
  6. Step 6: Final answer
    x = 8,889.53

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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.