Home / 1,584.67-2,374.90-1,147.38

Finding the Fourth Proportional to 1,584.67, 2,374.90 and 1,147.38

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Solution

The fourth proportional to 1,584.67, 2,374.90 and 1,147.38 is: 1,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.67 : 2,374.90 = 1,147.38 : x
  2. Step 2: Convert to fraction form
    1,584.67/2,374.90 = 1,147.38/x
  3. Step 3: Cross multiply
    1,584.67x = 2,374.90 × 1,147.38
  4. Step 4: Simplify right side
    1,584.67x = 2,724,912.76
  5. Step 5: Solve for x
    x = 2,724,912.76/1,584.67
  6. Step 6: Final answer
    x = 1,719.55

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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.