Home / 2,827.14-4,242.33-1,578.78

Finding the Fourth Proportional to 2,827.14, 4,242.33 and 1,578.78

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Solution

The fourth proportional to 2,827.14, 4,242.33 and 1,578.78 is: 2,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.14 : 4,242.33 = 1,578.78 : x
  2. Step 2: Convert to fraction form
    2,827.14/4,242.33 = 1,578.78/x
  3. Step 3: Cross multiply
    2,827.14x = 4,242.33 × 1,578.78
  4. Step 4: Simplify right side
    2,827.14x = 6,697,705.76
  5. Step 5: Solve for x
    x = 6,697,705.76/2,827.14
  6. Step 6: Final answer
    x = 2,369.07

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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.