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Finding the Fourth Proportional to 2,911.64, 4,366.44 and 937.19

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Solution

The fourth proportional to 2,911.64, 4,366.44 and 937.19 is: 1,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.64 : 4,366.44 = 937.19 : x
  2. Step 2: Convert to fraction form
    2,911.64/4,366.44 = 937.19/x
  3. Step 3: Cross multiply
    2,911.64x = 4,366.44 × 937.19
  4. Step 4: Simplify right side
    2,911.64x = 4,092,179.22
  5. Step 5: Solve for x
    x = 4,092,179.22/2,911.64
  6. Step 6: Final answer
    x = 1,405.46

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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.