Home / 2,278.86-3,144.80-1,284.14

Finding the Fourth Proportional to 2,278.86, 3,144.80 and 1,284.14

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Solution

The fourth proportional to 2,278.86, 3,144.80 and 1,284.14 is: 1,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.86 : 3,144.80 = 1,284.14 : x
  2. Step 2: Convert to fraction form
    2,278.86/3,144.80 = 1,284.14/x
  3. Step 3: Cross multiply
    2,278.86x = 3,144.80 × 1,284.14
  4. Step 4: Simplify right side
    2,278.86x = 4,038,363.47
  5. Step 5: Solve for x
    x = 4,038,363.47/2,278.86
  6. Step 6: Final answer
    x = 1,772.10

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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.