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Finding the Fourth Proportional to 2,602.29, 3,903.68 and 958.87

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Solution

The fourth proportional to 2,602.29, 3,903.68 and 958.87 is: 1,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.29 : 3,903.68 = 958.87 : x
  2. Step 2: Convert to fraction form
    2,602.29/3,903.68 = 958.87/x
  3. Step 3: Cross multiply
    2,602.29x = 3,903.68 × 958.87
  4. Step 4: Simplify right side
    2,602.29x = 3,743,121.64
  5. Step 5: Solve for x
    x = 3,743,121.64/2,602.29
  6. Step 6: Final answer
    x = 1,438.40

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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.