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Finding the Fourth Proportional to 2,246.72, 3,370.80 and 860.48

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Solution

The fourth proportional to 2,246.72, 3,370.80 and 860.48 is: 1,291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.72 : 3,370.80 = 860.48 : x
  2. Step 2: Convert to fraction form
    2,246.72/3,370.80 = 860.48/x
  3. Step 3: Cross multiply
    2,246.72x = 3,370.80 × 860.48
  4. Step 4: Simplify right side
    2,246.72x = 2,900,505.98
  5. Step 5: Solve for x
    x = 2,900,505.98/2,246.72
  6. Step 6: Final answer
    x = 1,291.00

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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.