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Finding the Fourth Proportional to 21,344.49, 32,020.49 and 7,301.21

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Solution

The fourth proportional to 21,344.49, 32,020.49 and 7,301.21 is: 10,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.49 : 32,020.49 = 7,301.21 : x
  2. Step 2: Convert to fraction form
    21,344.49/32,020.49 = 7,301.21/x
  3. Step 3: Cross multiply
    21,344.49x = 32,020.49 × 7,301.21
  4. Step 4: Simplify right side
    21,344.49x = 233,788,321.79
  5. Step 5: Solve for x
    x = 233,788,321.79/21,344.49
  6. Step 6: Final answer
    x = 10,953.10

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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.