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Finding the Fourth Proportional to 10,885.38, 15,023.24 and 6,409.54

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Solution

The fourth proportional to 10,885.38, 15,023.24 and 6,409.54 is: 8,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.38 : 15,023.24 = 6,409.54 : x
  2. Step 2: Convert to fraction form
    10,885.38/15,023.24 = 6,409.54/x
  3. Step 3: Cross multiply
    10,885.38x = 15,023.24 × 6,409.54
  4. Step 4: Simplify right side
    10,885.38x = 96,292,025.66
  5. Step 5: Solve for x
    x = 96,292,025.66/10,885.38
  6. Step 6: Final answer
    x = 8,846.00

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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.