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Finding the Fourth Proportional to 11,520, 17,284.05 and 5,680.71

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Solution

The fourth proportional to 11,520, 17,284.05 and 5,680.71 is: 8,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520 : 17,284.05 = 5,680.71 : x
  2. Step 2: Convert to fraction form
    11,520/17,284.05 = 5,680.71/x
  3. Step 3: Cross multiply
    11,520x = 17,284.05 × 5,680.71
  4. Step 4: Simplify right side
    11,520x = 98,185,675.68
  5. Step 5: Solve for x
    x = 98,185,675.68/11,520
  6. Step 6: Final answer
    x = 8,523.06

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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.