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Finding the Fourth Proportional to 11,517, 17,279.58 and 5,677.74

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Solution

The fourth proportional to 11,517, 17,279.58 and 5,677.74 is: 8,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517 : 17,279.58 = 5,677.74 : x
  2. Step 2: Convert to fraction form
    11,517/17,279.58 = 5,677.74/x
  3. Step 3: Cross multiply
    11,517x = 17,279.58 × 5,677.74
  4. Step 4: Simplify right side
    11,517x = 98,108,962.55
  5. Step 5: Solve for x
    x = 98,108,962.55/11,517
  6. Step 6: Final answer
    x = 8,518.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.