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Finding the Fourth Proportional to 11,387.84, 15,716.76 and 6,674

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Solution

The fourth proportional to 11,387.84, 15,716.76 and 6,674 is: 9,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.84 : 15,716.76 = 6,674 : x
  2. Step 2: Convert to fraction form
    11,387.84/15,716.76 = 6,674/x
  3. Step 3: Cross multiply
    11,387.84x = 15,716.76 × 6,674
  4. Step 4: Simplify right side
    11,387.84x = 104,893,656.24
  5. Step 5: Solve for x
    x = 104,893,656.24/11,387.84
  6. Step 6: Final answer
    x = 9,211.02

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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.