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Finding the Fourth Proportional to 47,679.84, 65,787.52 and 28,813.44

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Solution

The fourth proportional to 47,679.84, 65,787.52 and 28,813.44 is: 39,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,679.84 : 65,787.52 = 28,813.44 : x
  2. Step 2: Convert to fraction form
    47,679.84/65,787.52 = 28,813.44/x
  3. Step 3: Cross multiply
    47,679.84x = 65,787.52 × 28,813.44
  4. Step 4: Simplify right side
    47,679.84x = 1,895,564,760.27
  5. Step 5: Solve for x
    x = 1,895,564,760.27/47,679.84
  6. Step 6: Final answer
    x = 39,756.11

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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.