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Finding the Fourth Proportional to 7,169.76, 9,891.28 and 5,175.96

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Solution

The fourth proportional to 7,169.76, 9,891.28 and 5,175.96 is: 7,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.76 : 9,891.28 = 5,175.96 : x
  2. Step 2: Convert to fraction form
    7,169.76/9,891.28 = 5,175.96/x
  3. Step 3: Cross multiply
    7,169.76x = 9,891.28 × 5,175.96
  4. Step 4: Simplify right side
    7,169.76x = 51,196,869.63
  5. Step 5: Solve for x
    x = 51,196,869.63/7,169.76
  6. Step 6: Final answer
    x = 7,140.67

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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.