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Finding the Fourth Proportional to 1,599.40, 2,391.90 and 1,340.20

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Solution

The fourth proportional to 1,599.40, 2,391.90 and 1,340.20 is: 2,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.40 : 2,391.90 = 1,340.20 : x
  2. Step 2: Convert to fraction form
    1,599.40/2,391.90 = 1,340.20/x
  3. Step 3: Cross multiply
    1,599.40x = 2,391.90 × 1,340.20
  4. Step 4: Simplify right side
    1,599.40x = 3,205,624.38
  5. Step 5: Solve for x
    x = 3,205,624.38/1,599.40
  6. Step 6: Final answer
    x = 2,004.27

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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.