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Finding the Fourth Proportional to 2,906.12, 4,359.17 and 958.47

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Solution

The fourth proportional to 2,906.12, 4,359.17 and 958.47 is: 1,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.12 : 4,359.17 = 958.47 : x
  2. Step 2: Convert to fraction form
    2,906.12/4,359.17 = 958.47/x
  3. Step 3: Cross multiply
    2,906.12x = 4,359.17 × 958.47
  4. Step 4: Simplify right side
    2,906.12x = 4,178,128.88
  5. Step 5: Solve for x
    x = 4,178,128.88/2,906.12
  6. Step 6: Final answer
    x = 1,437.70

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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.