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Finding the Fourth Proportional to 3,414, 5,126.76 and 3,108.72

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Solution

The fourth proportional to 3,414, 5,126.76 and 3,108.72 is: 4,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414 : 5,126.76 = 3,108.72 : x
  2. Step 2: Convert to fraction form
    3,414/5,126.76 = 3,108.72/x
  3. Step 3: Cross multiply
    3,414x = 5,126.76 × 3,108.72
  4. Step 4: Simplify right side
    3,414x = 15,937,661.35
  5. Step 5: Solve for x
    x = 15,937,661.35/3,414
  6. Step 6: Final answer
    x = 4,668.32

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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.