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Finding the Fourth Proportional to 2,714.81, 3,749.16 and 2,339.69

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Solution

The fourth proportional to 2,714.81, 3,749.16 and 2,339.69 is: 3,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.81 : 3,749.16 = 2,339.69 : x
  2. Step 2: Convert to fraction form
    2,714.81/3,749.16 = 2,339.69/x
  3. Step 3: Cross multiply
    2,714.81x = 3,749.16 × 2,339.69
  4. Step 4: Simplify right side
    2,714.81x = 8,771,853.41
  5. Step 5: Solve for x
    x = 8,771,853.41/2,714.81
  6. Step 6: Final answer
    x = 3,231.12

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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.