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Finding the Fourth Proportional to 3,141.80, 4,699.74 and 2,856.68

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Solution

The fourth proportional to 3,141.80, 4,699.74 and 2,856.68 is: 4,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.80 : 4,699.74 = 2,856.68 : x
  2. Step 2: Convert to fraction form
    3,141.80/4,699.74 = 2,856.68/x
  3. Step 3: Cross multiply
    3,141.80x = 4,699.74 × 2,856.68
  4. Step 4: Simplify right side
    3,141.80x = 13,425,653.26
  5. Step 5: Solve for x
    x = 13,425,653.26/3,141.80
  6. Step 6: Final answer
    x = 4,273.24

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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.