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Finding the Fourth Proportional to 27,900.40, 41,837.40 and 16,217.20

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Solution

The fourth proportional to 27,900.40, 41,837.40 and 16,217.20 is: 24,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900.40 : 41,837.40 = 16,217.20 : x
  2. Step 2: Convert to fraction form
    27,900.40/41,837.40 = 16,217.20/x
  3. Step 3: Cross multiply
    27,900.40x = 41,837.40 × 16,217.20
  4. Step 4: Simplify right side
    27,900.40x = 678,485,483.28
  5. Step 5: Solve for x
    x = 678,485,483.28/27,900.40
  6. Step 6: Final answer
    x = 24,318.13

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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.