Home / 2,567.84-3,857.90-1,645.18

Finding the Fourth Proportional to 2,567.84, 3,857.90 and 1,645.18

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Solution

The fourth proportional to 2,567.84, 3,857.90 and 1,645.18 is: 2,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.84 : 3,857.90 = 1,645.18 : x
  2. Step 2: Convert to fraction form
    2,567.84/3,857.90 = 1,645.18/x
  3. Step 3: Cross multiply
    2,567.84x = 3,857.90 × 1,645.18
  4. Step 4: Simplify right side
    2,567.84x = 6,346,922.05
  5. Step 5: Solve for x
    x = 6,346,922.05/2,567.84
  6. Step 6: Final answer
    x = 2,471.70

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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.