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Finding the Fourth Proportional to 2,234.49, 3,083.49 and 1,290.45

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Solution

The fourth proportional to 2,234.49, 3,083.49 and 1,290.45 is: 1,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.49 : 3,083.49 = 1,290.45 : x
  2. Step 2: Convert to fraction form
    2,234.49/3,083.49 = 1,290.45/x
  3. Step 3: Cross multiply
    2,234.49x = 3,083.49 × 1,290.45
  4. Step 4: Simplify right side
    2,234.49x = 3,979,089.67
  5. Step 5: Solve for x
    x = 3,979,089.67/2,234.49
  6. Step 6: Final answer
    x = 1,780.76

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1.5x scale

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.