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Finding the Fourth Proportional to 21,876.88, 32,815.78 and 7,085.76

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Solution

The fourth proportional to 21,876.88, 32,815.78 and 7,085.76 is: 10,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.88 : 32,815.78 = 7,085.76 : x
  2. Step 2: Convert to fraction form
    21,876.88/32,815.78 = 7,085.76/x
  3. Step 3: Cross multiply
    21,876.88x = 32,815.78 × 7,085.76
  4. Step 4: Simplify right side
    21,876.88x = 232,524,741.29
  5. Step 5: Solve for x
    x = 232,524,741.29/21,876.88
  6. Step 6: Final answer
    x = 10,628.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.