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Finding the Fourth Proportional to 2,919.46, 4,378.64 and 971.14

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Solution

The fourth proportional to 2,919.46, 4,378.64 and 971.14 is: 1,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.46 : 4,378.64 = 971.14 : x
  2. Step 2: Convert to fraction form
    2,919.46/4,378.64 = 971.14/x
  3. Step 3: Cross multiply
    2,919.46x = 4,378.64 × 971.14
  4. Step 4: Simplify right side
    2,919.46x = 4,252,272.45
  5. Step 5: Solve for x
    x = 4,252,272.45/2,919.46
  6. Step 6: Final answer
    x = 1,456.53

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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.