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Finding the Fourth Proportional to 15,801.31, 21,808.16 and 9,834.85

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Solution

The fourth proportional to 15,801.31, 21,808.16 and 9,834.85 is: 13,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.31 : 21,808.16 = 9,834.85 : x
  2. Step 2: Convert to fraction form
    15,801.31/21,808.16 = 9,834.85/x
  3. Step 3: Cross multiply
    15,801.31x = 21,808.16 × 9,834.85
  4. Step 4: Simplify right side
    15,801.31x = 214,479,982.38
  5. Step 5: Solve for x
    x = 214,479,982.38/15,801.31
  6. Step 6: Final answer
    x = 13,573.56

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1.5x scale

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.