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Finding the Fourth Proportional to 3,374.67, 4,656.81 and 1,958.40

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Solution

The fourth proportional to 3,374.67, 4,656.81 and 1,958.40 is: 2,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.67 : 4,656.81 = 1,958.40 : x
  2. Step 2: Convert to fraction form
    3,374.67/4,656.81 = 1,958.40/x
  3. Step 3: Cross multiply
    3,374.67x = 4,656.81 × 1,958.40
  4. Step 4: Simplify right side
    3,374.67x = 9,119,896.70
  5. Step 5: Solve for x
    x = 9,119,896.70/3,374.67
  6. Step 6: Final answer
    x = 2,702.46

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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.