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Finding the Fourth Proportional to 4,787.64, 7,174.12 and 3,221.84

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Solution

The fourth proportional to 4,787.64, 7,174.12 and 3,221.84 is: 4,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.64 : 7,174.12 = 3,221.84 : x
  2. Step 2: Convert to fraction form
    4,787.64/7,174.12 = 3,221.84/x
  3. Step 3: Cross multiply
    4,787.64x = 7,174.12 × 3,221.84
  4. Step 4: Simplify right side
    4,787.64x = 23,113,866.78
  5. Step 5: Solve for x
    x = 23,113,866.78/4,787.64
  6. Step 6: Final answer
    x = 4,827.82

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1.5x scale

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.