Home / 2,849-3,931.68-1,607

Finding the Fourth Proportional to 2,849, 3,931.68 and 1,607

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Solution

The fourth proportional to 2,849, 3,931.68 and 1,607 is: 2,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849 : 3,931.68 = 1,607 : x
  2. Step 2: Convert to fraction form
    2,849/3,931.68 = 1,607/x
  3. Step 3: Cross multiply
    2,849x = 3,931.68 × 1,607
  4. Step 4: Simplify right side
    2,849x = 6,318,209.76
  5. Step 5: Solve for x
    x = 6,318,209.76/2,849
  6. Step 6: Final answer
    x = 2,217.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.