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Finding the Fourth Proportional to 5,381.52, 8,072.04 and 1,485.84

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Solution

The fourth proportional to 5,381.52, 8,072.04 and 1,485.84 is: 2,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.52 : 8,072.04 = 1,485.84 : x
  2. Step 2: Convert to fraction form
    5,381.52/8,072.04 = 1,485.84/x
  3. Step 3: Cross multiply
    5,381.52x = 8,072.04 × 1,485.84
  4. Step 4: Simplify right side
    5,381.52x = 11,993,759.91
  5. Step 5: Solve for x
    x = 11,993,759.91/5,381.52
  6. Step 6: Final answer
    x = 2,228.69

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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.