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Finding the Fourth Proportional to 21,876.21, 32,815.05 and 7,085.25

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Solution

The fourth proportional to 21,876.21, 32,815.05 and 7,085.25 is: 10,628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.21 : 32,815.05 = 7,085.25 : x
  2. Step 2: Convert to fraction form
    21,876.21/32,815.05 = 7,085.25/x
  3. Step 3: Cross multiply
    21,876.21x = 32,815.05 × 7,085.25
  4. Step 4: Simplify right side
    21,876.21x = 232,502,833.01
  5. Step 5: Solve for x
    x = 232,502,833.01/21,876.21
  6. Step 6: Final answer
    x = 10,628.11

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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.