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Finding the Fourth Proportional to 11,143.34, 15,378 and 6,107.48

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Solution

The fourth proportional to 11,143.34, 15,378 and 6,107.48 is: 8,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.34 : 15,378 = 6,107.48 : x
  2. Step 2: Convert to fraction form
    11,143.34/15,378 = 6,107.48/x
  3. Step 3: Cross multiply
    11,143.34x = 15,378 × 6,107.48
  4. Step 4: Simplify right side
    11,143.34x = 93,920,827.44
  5. Step 5: Solve for x
    x = 93,920,827.44/11,143.34
  6. Step 6: Final answer
    x = 8,428.43

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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.