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Finding the Fourth Proportional to 21,074.88, 31,616.95 and 7,927.25

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Solution

The fourth proportional to 21,074.88, 31,616.95 and 7,927.25 is: 11,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.88 : 31,616.95 = 7,927.25 : x
  2. Step 2: Convert to fraction form
    21,074.88/31,616.95 = 7,927.25/x
  3. Step 3: Cross multiply
    21,074.88x = 31,616.95 × 7,927.25
  4. Step 4: Simplify right side
    21,074.88x = 250,635,526.11
  5. Step 5: Solve for x
    x = 250,635,526.11/21,074.88
  6. Step 6: Final answer
    x = 11,892.62

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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.