Home / 2,069.68-3,102-1,584.76

Finding the Fourth Proportional to 2,069.68, 3,102 and 1,584.76

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Solution

The fourth proportional to 2,069.68, 3,102 and 1,584.76 is: 2,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.68 : 3,102 = 1,584.76 : x
  2. Step 2: Convert to fraction form
    2,069.68/3,102 = 1,584.76/x
  3. Step 3: Cross multiply
    2,069.68x = 3,102 × 1,584.76
  4. Step 4: Simplify right side
    2,069.68x = 4,915,925.52
  5. Step 5: Solve for x
    x = 4,915,925.52/2,069.68
  6. Step 6: Final answer
    x = 2,375.21

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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.