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Finding the Fourth Proportional to 39,378.84, 54,315 and 23,451

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Solution

The fourth proportional to 39,378.84, 54,315 and 23,451 is: 32,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,378.84 : 54,315 = 23,451 : x
  2. Step 2: Convert to fraction form
    39,378.84/54,315 = 23,451/x
  3. Step 3: Cross multiply
    39,378.84x = 54,315 × 23,451
  4. Step 4: Simplify right side
    39,378.84x = 1,273,741,065
  5. Step 5: Solve for x
    x = 1,273,741,065/39,378.84
  6. Step 6: Final answer
    x = 32,345.82

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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.