Home / 3,097.56-4,642.83-1,538.65

Finding the Fourth Proportional to 3,097.56, 4,642.83 and 1,538.65

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Solution

The fourth proportional to 3,097.56, 4,642.83 and 1,538.65 is: 2,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.56 : 4,642.83 = 1,538.65 : x
  2. Step 2: Convert to fraction form
    3,097.56/4,642.83 = 1,538.65/x
  3. Step 3: Cross multiply
    3,097.56x = 4,642.83 × 1,538.65
  4. Step 4: Simplify right side
    3,097.56x = 7,143,678.77
  5. Step 5: Solve for x
    x = 7,143,678.77/3,097.56
  6. Step 6: Final answer
    x = 2,306.23

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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.