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Finding the Fourth Proportional to 2,690.28, 4,035.42 and 958.50

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Solution

The fourth proportional to 2,690.28, 4,035.42 and 958.50 is: 1,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.28 : 4,035.42 = 958.50 : x
  2. Step 2: Convert to fraction form
    2,690.28/4,035.42 = 958.50/x
  3. Step 3: Cross multiply
    2,690.28x = 4,035.42 × 958.50
  4. Step 4: Simplify right side
    2,690.28x = 3,867,950.07
  5. Step 5: Solve for x
    x = 3,867,950.07/2,690.28
  6. Step 6: Final answer
    x = 1,437.75

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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.