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Finding the Fourth Proportional to 4,853.75, 7,281.84 and 1,391

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Solution

The fourth proportional to 4,853.75, 7,281.84 and 1,391 is: 2,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.75 : 7,281.84 = 1,391 : x
  2. Step 2: Convert to fraction form
    4,853.75/7,281.84 = 1,391/x
  3. Step 3: Cross multiply
    4,853.75x = 7,281.84 × 1,391
  4. Step 4: Simplify right side
    4,853.75x = 10,129,039.44
  5. Step 5: Solve for x
    x = 10,129,039.44/4,853.75
  6. Step 6: Final answer
    x = 2,086.85

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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.