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Finding the Fourth Proportional to 10,922.80, 16,384.20 and 4,685.80

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Solution

The fourth proportional to 10,922.80, 16,384.20 and 4,685.80 is: 7,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.80 : 16,384.20 = 4,685.80 : x
  2. Step 2: Convert to fraction form
    10,922.80/16,384.20 = 4,685.80/x
  3. Step 3: Cross multiply
    10,922.80x = 16,384.20 × 4,685.80
  4. Step 4: Simplify right side
    10,922.80x = 76,773,084.36
  5. Step 5: Solve for x
    x = 76,773,084.36/10,922.80
  6. Step 6: Final answer
    x = 7,028.70

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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.