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Finding the Fourth Proportional to 3,157.31, 4,730.31 and 1,924.07

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Solution

The fourth proportional to 3,157.31, 4,730.31 and 1,924.07 is: 2,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.31 : 4,730.31 = 1,924.07 : x
  2. Step 2: Convert to fraction form
    3,157.31/4,730.31 = 1,924.07/x
  3. Step 3: Cross multiply
    3,157.31x = 4,730.31 × 1,924.07
  4. Step 4: Simplify right side
    3,157.31x = 9,101,447.56
  5. Step 5: Solve for x
    x = 9,101,447.56/3,157.31
  6. Step 6: Final answer
    x = 2,882.66

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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.