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Finding the Fourth Proportional to 2,853.66, 4,278.66 and 1,209.77

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Solution

The fourth proportional to 2,853.66, 4,278.66 and 1,209.77 is: 1,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.66 : 4,278.66 = 1,209.77 : x
  2. Step 2: Convert to fraction form
    2,853.66/4,278.66 = 1,209.77/x
  3. Step 3: Cross multiply
    2,853.66x = 4,278.66 × 1,209.77
  4. Step 4: Simplify right side
    2,853.66x = 5,176,194.51
  5. Step 5: Solve for x
    x = 5,176,194.51/2,853.66
  6. Step 6: Final answer
    x = 1,813.88

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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.