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Finding the Fourth Proportional to 2,690.40, 4,035.66 and 935.46

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Solution

The fourth proportional to 2,690.40, 4,035.66 and 935.46 is: 1,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.40 : 4,035.66 = 935.46 : x
  2. Step 2: Convert to fraction form
    2,690.40/4,035.66 = 935.46/x
  3. Step 3: Cross multiply
    2,690.40x = 4,035.66 × 935.46
  4. Step 4: Simplify right side
    2,690.40x = 3,775,198.50
  5. Step 5: Solve for x
    x = 3,775,198.50/2,690.40
  6. Step 6: Final answer
    x = 1,403.21

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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.