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Finding the Fourth Proportional to 5,626.32, 8,438.84 and 1,522

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Solution

The fourth proportional to 5,626.32, 8,438.84 and 1,522 is: 2,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.32 : 8,438.84 = 1,522 : x
  2. Step 2: Convert to fraction form
    5,626.32/8,438.84 = 1,522/x
  3. Step 3: Cross multiply
    5,626.32x = 8,438.84 × 1,522
  4. Step 4: Simplify right side
    5,626.32x = 12,843,914.48
  5. Step 5: Solve for x
    x = 12,843,914.48/5,626.32
  6. Step 6: Final answer
    x = 2,282.83

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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.