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Finding the Fourth Proportional to 21,613, 32,422.20 and 7,762

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Solution

The fourth proportional to 21,613, 32,422.20 and 7,762 is: 11,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613 : 32,422.20 = 7,762 : x
  2. Step 2: Convert to fraction form
    21,613/32,422.20 = 7,762/x
  3. Step 3: Cross multiply
    21,613x = 32,422.20 × 7,762
  4. Step 4: Simplify right side
    21,613x = 251,661,116.40
  5. Step 5: Solve for x
    x = 251,661,116.40/21,613
  6. Step 6: Final answer
    x = 11,643.97

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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.