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Finding the Fourth Proportional to 2,290, 3,159.84 and 1,294.96

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Solution

The fourth proportional to 2,290, 3,159.84 and 1,294.96 is: 1,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290 : 3,159.84 = 1,294.96 : x
  2. Step 2: Convert to fraction form
    2,290/3,159.84 = 1,294.96/x
  3. Step 3: Cross multiply
    2,290x = 3,159.84 × 1,294.96
  4. Step 4: Simplify right side
    2,290x = 4,091,866.41
  5. Step 5: Solve for x
    x = 4,091,866.41/2,290
  6. Step 6: Final answer
    x = 1,786.84

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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.