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Finding the Fourth Proportional to 27,942.30, 41,901.30 and 9,215.10

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Solution

The fourth proportional to 27,942.30, 41,901.30 and 9,215.10 is: 13,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.30 : 41,901.30 = 9,215.10 : x
  2. Step 2: Convert to fraction form
    27,942.30/41,901.30 = 9,215.10/x
  3. Step 3: Cross multiply
    27,942.30x = 41,901.30 × 9,215.10
  4. Step 4: Simplify right side
    27,942.30x = 386,124,669.63
  5. Step 5: Solve for x
    x = 386,124,669.63/27,942.30
  6. Step 6: Final answer
    x = 13,818.64

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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.