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Finding the Fourth Proportional to 21,805.24, 32,707.88 and 7,951

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Solution

The fourth proportional to 21,805.24, 32,707.88 and 7,951 is: 11,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.24 : 32,707.88 = 7,951 : x
  2. Step 2: Convert to fraction form
    21,805.24/32,707.88 = 7,951/x
  3. Step 3: Cross multiply
    21,805.24x = 32,707.88 × 7,951
  4. Step 4: Simplify right side
    21,805.24x = 260,060,353.88
  5. Step 5: Solve for x
    x = 260,060,353.88/21,805.24
  6. Step 6: Final answer
    x = 11,926.51

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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.