Home / 1,538.43-2,306.62-1,306.36

Finding the Fourth Proportional to 1,538.43, 2,306.62 and 1,306.36

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Solution

The fourth proportional to 1,538.43, 2,306.62 and 1,306.36 is: 1,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.43 : 2,306.62 = 1,306.36 : x
  2. Step 2: Convert to fraction form
    1,538.43/2,306.62 = 1,306.36/x
  3. Step 3: Cross multiply
    1,538.43x = 2,306.62 × 1,306.36
  4. Step 4: Simplify right side
    1,538.43x = 3,013,276.10
  5. Step 5: Solve for x
    x = 3,013,276.10/1,538.43
  6. Step 6: Final answer
    x = 1,958.67

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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.