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Finding the Fourth Proportional to 7,964.52, 10,988.10 and 5,169

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Solution

The fourth proportional to 7,964.52, 10,988.10 and 5,169 is: 7,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.52 : 10,988.10 = 5,169 : x
  2. Step 2: Convert to fraction form
    7,964.52/10,988.10 = 5,169/x
  3. Step 3: Cross multiply
    7,964.52x = 10,988.10 × 5,169
  4. Step 4: Simplify right side
    7,964.52x = 56,797,488.90
  5. Step 5: Solve for x
    x = 56,797,488.90/7,964.52
  6. Step 6: Final answer
    x = 7,131.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.