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Finding the Fourth Proportional to 3,551.71, 4,901.40 and 1,958.42

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Solution

The fourth proportional to 3,551.71, 4,901.40 and 1,958.42 is: 2,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.71 : 4,901.40 = 1,958.42 : x
  2. Step 2: Convert to fraction form
    3,551.71/4,901.40 = 1,958.42/x
  3. Step 3: Cross multiply
    3,551.71x = 4,901.40 × 1,958.42
  4. Step 4: Simplify right side
    3,551.71x = 9,599,005.84
  5. Step 5: Solve for x
    x = 9,599,005.84/3,551.71
  6. Step 6: Final answer
    x = 2,702.64

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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.