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Finding the Fourth Proportional to 31,230, 46,892.51 and 27,279

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Solution

The fourth proportional to 31,230, 46,892.51 and 27,279 is: 40,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230 : 46,892.51 = 27,279 : x
  2. Step 2: Convert to fraction form
    31,230/46,892.51 = 27,279/x
  3. Step 3: Cross multiply
    31,230x = 46,892.51 × 27,279
  4. Step 4: Simplify right side
    31,230x = 1,279,180,643.90
  5. Step 5: Solve for x
    x = 1,279,180,643.90/31,230
  6. Step 6: Final answer
    x = 40,960.00

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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.