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Finding the Fourth Proportional to 10,822, 16,223.28 and 3,894.88

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Solution

The fourth proportional to 10,822, 16,223.28 and 3,894.88 is: 5,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822 : 16,223.28 = 3,894.88 : x
  2. Step 2: Convert to fraction form
    10,822/16,223.28 = 3,894.88/x
  3. Step 3: Cross multiply
    10,822x = 16,223.28 × 3,894.88
  4. Step 4: Simplify right side
    10,822x = 63,187,728.81
  5. Step 5: Solve for x
    x = 63,187,728.81/10,822
  6. Step 6: Final answer
    x = 5,838.82

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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.