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Finding the Fourth Proportional to 14,552.80, 21,822 and 6,756.64

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Solution

The fourth proportional to 14,552.80, 21,822 and 6,756.64 is: 10,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552.80 : 21,822 = 6,756.64 : x
  2. Step 2: Convert to fraction form
    14,552.80/21,822 = 6,756.64/x
  3. Step 3: Cross multiply
    14,552.80x = 21,822 × 6,756.64
  4. Step 4: Simplify right side
    14,552.80x = 147,443,398.08
  5. Step 5: Solve for x
    x = 147,443,398.08/14,552.80
  6. Step 6: Final answer
    x = 10,131.62

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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.