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Finding the Fourth Proportional to 27,988.98, 41,982.03 and 10,457.43

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Solution

The fourth proportional to 27,988.98, 41,982.03 and 10,457.43 is: 15,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988.98 : 41,982.03 = 10,457.43 : x
  2. Step 2: Convert to fraction form
    27,988.98/41,982.03 = 10,457.43/x
  3. Step 3: Cross multiply
    27,988.98x = 41,982.03 × 10,457.43
  4. Step 4: Simplify right side
    27,988.98x = 439,024,139.98
  5. Step 5: Solve for x
    x = 439,024,139.98/27,988.98
  6. Step 6: Final answer
    x = 15,685.61

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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.