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Finding the Fourth Proportional to 2,919.90, 4,378.50 and 945.21

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Solution

The fourth proportional to 2,919.90, 4,378.50 and 945.21 is: 1,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.90 : 4,378.50 = 945.21 : x
  2. Step 2: Convert to fraction form
    2,919.90/4,378.50 = 945.21/x
  3. Step 3: Cross multiply
    2,919.90x = 4,378.50 × 945.21
  4. Step 4: Simplify right side
    2,919.90x = 4,138,601.99
  5. Step 5: Solve for x
    x = 4,138,601.99/2,919.90
  6. Step 6: Final answer
    x = 1,417.38

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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.