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Finding the Fourth Proportional to 15,822.42, 21,836.91 and 9,108

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Solution

The fourth proportional to 15,822.42, 21,836.91 and 9,108 is: 12,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.42 : 21,836.91 = 9,108 : x
  2. Step 2: Convert to fraction form
    15,822.42/21,836.91 = 9,108/x
  3. Step 3: Cross multiply
    15,822.42x = 21,836.91 × 9,108
  4. Step 4: Simplify right side
    15,822.42x = 198,890,576.28
  5. Step 5: Solve for x
    x = 198,890,576.28/15,822.42
  6. Step 6: Final answer
    x = 12,570.17

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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.