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Finding the Fourth Proportional to 3,167.82, 4,752.17 and 976.72

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Solution

The fourth proportional to 3,167.82, 4,752.17 and 976.72 is: 1,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.82 : 4,752.17 = 976.72 : x
  2. Step 2: Convert to fraction form
    3,167.82/4,752.17 = 976.72/x
  3. Step 3: Cross multiply
    3,167.82x = 4,752.17 × 976.72
  4. Step 4: Simplify right side
    3,167.82x = 4,641,539.48
  5. Step 5: Solve for x
    x = 4,641,539.48/3,167.82
  6. Step 6: Final answer
    x = 1,465.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.