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Finding the Fourth Proportional to 2,917.44, 4,376.36 and 971

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Solution

The fourth proportional to 2,917.44, 4,376.36 and 971 is: 1,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.44 : 4,376.36 = 971 : x
  2. Step 2: Convert to fraction form
    2,917.44/4,376.36 = 971/x
  3. Step 3: Cross multiply
    2,917.44x = 4,376.36 × 971
  4. Step 4: Simplify right side
    2,917.44x = 4,249,445.56
  5. Step 5: Solve for x
    x = 4,249,445.56/2,917.44
  6. Step 6: Final answer
    x = 1,456.57

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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.