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Finding the Fourth Proportional to 27,448, 37,878.30 and 14,872.84

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Solution

The fourth proportional to 27,448, 37,878.30 and 14,872.84 is: 20,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,448 : 37,878.30 = 14,872.84 : x
  2. Step 2: Convert to fraction form
    27,448/37,878.30 = 14,872.84/x
  3. Step 3: Cross multiply
    27,448x = 37,878.30 × 14,872.84
  4. Step 4: Simplify right side
    27,448x = 563,357,895.37
  5. Step 5: Solve for x
    x = 563,357,895.37/27,448
  6. Step 6: Final answer
    x = 20,524.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.