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Finding the Fourth Proportional to 3,599.42, 5,396.90 and 1,405.58

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Solution

The fourth proportional to 3,599.42, 5,396.90 and 1,405.58 is: 2,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.42 : 5,396.90 = 1,405.58 : x
  2. Step 2: Convert to fraction form
    3,599.42/5,396.90 = 1,405.58/x
  3. Step 3: Cross multiply
    3,599.42x = 5,396.90 × 1,405.58
  4. Step 4: Simplify right side
    3,599.42x = 7,585,774.70
  5. Step 5: Solve for x
    x = 7,585,774.70/3,599.42
  6. Step 6: Final answer
    x = 2,107.50

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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.