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Finding the Fourth Proportional to 11,748, 16,212.96 and 6,780

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Solution

The fourth proportional to 11,748, 16,212.96 and 6,780 is: 9,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748 : 16,212.96 = 6,780 : x
  2. Step 2: Convert to fraction form
    11,748/16,212.96 = 6,780/x
  3. Step 3: Cross multiply
    11,748x = 16,212.96 × 6,780
  4. Step 4: Simplify right side
    11,748x = 109,923,868.80
  5. Step 5: Solve for x
    x = 109,923,868.80/11,748
  6. Step 6: Final answer
    x = 9,356.82

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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.