Home / 2,278.32-3,144.86-1,416.65

Finding the Fourth Proportional to 2,278.32, 3,144.86 and 1,416.65

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Solution

The fourth proportional to 2,278.32, 3,144.86 and 1,416.65 is: 1,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.32 : 3,144.86 = 1,416.65 : x
  2. Step 2: Convert to fraction form
    2,278.32/3,144.86 = 1,416.65/x
  3. Step 3: Cross multiply
    2,278.32x = 3,144.86 × 1,416.65
  4. Step 4: Simplify right side
    2,278.32x = 4,455,153.74
  5. Step 5: Solve for x
    x = 4,455,153.74/2,278.32
  6. Step 6: Final answer
    x = 1,955.45

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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.