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Finding the Fourth Proportional to 7,328, 10,991.64 and 2,397.04

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Solution

The fourth proportional to 7,328, 10,991.64 and 2,397.04 is: 3,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328 : 10,991.64 = 2,397.04 : x
  2. Step 2: Convert to fraction form
    7,328/10,991.64 = 2,397.04/x
  3. Step 3: Cross multiply
    7,328x = 10,991.64 × 2,397.04
  4. Step 4: Simplify right side
    7,328x = 26,347,400.75
  5. Step 5: Solve for x
    x = 26,347,400.75/7,328
  6. Step 6: Final answer
    x = 3,595.44

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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.