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Finding the Fourth Proportional to 21,876.88, 32,811.80 and 7,834.30

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Solution

The fourth proportional to 21,876.88, 32,811.80 and 7,834.30 is: 11,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.88 : 32,811.80 = 7,834.30 : x
  2. Step 2: Convert to fraction form
    21,876.88/32,811.80 = 7,834.30/x
  3. Step 3: Cross multiply
    21,876.88x = 32,811.80 × 7,834.30
  4. Step 4: Simplify right side
    21,876.88x = 257,057,484.74
  5. Step 5: Solve for x
    x = 257,057,484.74/21,876.88
  6. Step 6: Final answer
    x = 11,750.19

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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.