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Finding the Fourth Proportional to 7,320, 10,981.39 and 2,937.80

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Solution

The fourth proportional to 7,320, 10,981.39 and 2,937.80 is: 4,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320 : 10,981.39 = 2,937.80 : x
  2. Step 2: Convert to fraction form
    7,320/10,981.39 = 2,937.80/x
  3. Step 3: Cross multiply
    7,320x = 10,981.39 × 2,937.80
  4. Step 4: Simplify right side
    7,320x = 32,261,147.65
  5. Step 5: Solve for x
    x = 32,261,147.65/7,320
  6. Step 6: Final answer
    x = 4,407.26

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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.