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Finding the Fourth Proportional to 15,920.88, 21,964.50 and 9,205.26

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Solution

The fourth proportional to 15,920.88, 21,964.50 and 9,205.26 is: 12,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.88 : 21,964.50 = 9,205.26 : x
  2. Step 2: Convert to fraction form
    15,920.88/21,964.50 = 9,205.26/x
  3. Step 3: Cross multiply
    15,920.88x = 21,964.50 × 9,205.26
  4. Step 4: Simplify right side
    15,920.88x = 202,188,933.27
  5. Step 5: Solve for x
    x = 202,188,933.27/15,920.88
  6. Step 6: Final answer
    x = 12,699.61

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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.