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Finding the Fourth Proportional to 1,601.40, 2,399.10 and 1,393.50

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Solution

The fourth proportional to 1,601.40, 2,399.10 and 1,393.50 is: 2,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.40 : 2,399.10 = 1,393.50 : x
  2. Step 2: Convert to fraction form
    1,601.40/2,399.10 = 1,393.50/x
  3. Step 3: Cross multiply
    1,601.40x = 2,399.10 × 1,393.50
  4. Step 4: Simplify right side
    1,601.40x = 3,343,145.85
  5. Step 5: Solve for x
    x = 3,343,145.85/1,601.40
  6. Step 6: Final answer
    x = 2,087.64

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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.