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Finding the Fourth Proportional to 3,100.14, 4,278.14 and 1,702.88

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Solution

The fourth proportional to 3,100.14, 4,278.14 and 1,702.88 is: 2,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.14 : 4,278.14 = 1,702.88 : x
  2. Step 2: Convert to fraction form
    3,100.14/4,278.14 = 1,702.88/x
  3. Step 3: Cross multiply
    3,100.14x = 4,278.14 × 1,702.88
  4. Step 4: Simplify right side
    3,100.14x = 7,285,159.04
  5. Step 5: Solve for x
    x = 7,285,159.04/3,100.14
  6. Step 6: Final answer
    x = 2,349.95

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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.