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Finding the Fourth Proportional to 8,922, 12,312.36 and 5,385.21

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Solution

The fourth proportional to 8,922, 12,312.36 and 5,385.21 is: 7,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922 : 12,312.36 = 5,385.21 : x
  2. Step 2: Convert to fraction form
    8,922/12,312.36 = 5,385.21/x
  3. Step 3: Cross multiply
    8,922x = 12,312.36 × 5,385.21
  4. Step 4: Simplify right side
    8,922x = 66,304,644.20
  5. Step 5: Solve for x
    x = 66,304,644.20/8,922
  6. Step 6: Final answer
    x = 7,431.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.