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Finding the Fourth Proportional to 27,787.60, 41,700.84 and 12,216.16

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Solution

The fourth proportional to 27,787.60, 41,700.84 and 12,216.16 is: 18,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787.60 : 41,700.84 = 12,216.16 : x
  2. Step 2: Convert to fraction form
    27,787.60/41,700.84 = 12,216.16/x
  3. Step 3: Cross multiply
    27,787.60x = 41,700.84 × 12,216.16
  4. Step 4: Simplify right side
    27,787.60x = 509,424,133.57
  5. Step 5: Solve for x
    x = 509,424,133.57/27,787.60
  6. Step 6: Final answer
    x = 18,332.79

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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.