Home / 1,584.28-2,374.34-1,147

Finding the Fourth Proportional to 1,584.28, 2,374.34 and 1,147

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Solution

The fourth proportional to 1,584.28, 2,374.34 and 1,147 is: 1,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.28 : 2,374.34 = 1,147 : x
  2. Step 2: Convert to fraction form
    1,584.28/2,374.34 = 1,147/x
  3. Step 3: Cross multiply
    1,584.28x = 2,374.34 × 1,147
  4. Step 4: Simplify right side
    1,584.28x = 2,723,367.98
  5. Step 5: Solve for x
    x = 2,723,367.98/1,584.28
  6. Step 6: Final answer
    x = 1,718.99

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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.