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Finding the Fourth Proportional to 15,862.80, 21,883.80 and 9,571.56

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Solution

The fourth proportional to 15,862.80, 21,883.80 and 9,571.56 is: 13,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.80 : 21,883.80 = 9,571.56 : x
  2. Step 2: Convert to fraction form
    15,862.80/21,883.80 = 9,571.56/x
  3. Step 3: Cross multiply
    15,862.80x = 21,883.80 × 9,571.56
  4. Step 4: Simplify right side
    15,862.80x = 209,462,104.73
  5. Step 5: Solve for x
    x = 209,462,104.73/15,862.80
  6. Step 6: Final answer
    x = 13,204.61

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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.