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Finding the Fourth Proportional to 2,331.95, 3,218.07 and 1,284

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Solution

The fourth proportional to 2,331.95, 3,218.07 and 1,284 is: 1,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.95 : 3,218.07 = 1,284 : x
  2. Step 2: Convert to fraction form
    2,331.95/3,218.07 = 1,284/x
  3. Step 3: Cross multiply
    2,331.95x = 3,218.07 × 1,284
  4. Step 4: Simplify right side
    2,331.95x = 4,132,001.88
  5. Step 5: Solve for x
    x = 4,132,001.88/2,331.95
  6. Step 6: Final answer
    x = 1,771.91

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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.