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Finding the Fourth Proportional to 11,380, 15,704.40 and 6,412

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Solution

The fourth proportional to 11,380, 15,704.40 and 6,412 is: 8,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380 : 15,704.40 = 6,412 : x
  2. Step 2: Convert to fraction form
    11,380/15,704.40 = 6,412/x
  3. Step 3: Cross multiply
    11,380x = 15,704.40 × 6,412
  4. Step 4: Simplify right side
    11,380x = 100,696,612.80
  5. Step 5: Solve for x
    x = 100,696,612.80/11,380
  6. Step 6: Final answer
    x = 8,848.56

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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.