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Finding the Fourth Proportional to 2,911.62, 4,368.16 and 937.43

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Solution

The fourth proportional to 2,911.62, 4,368.16 and 937.43 is: 1,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.62 : 4,368.16 = 937.43 : x
  2. Step 2: Convert to fraction form
    2,911.62/4,368.16 = 937.43/x
  3. Step 3: Cross multiply
    2,911.62x = 4,368.16 × 937.43
  4. Step 4: Simplify right side
    2,911.62x = 4,094,859.24
  5. Step 5: Solve for x
    x = 4,094,859.24/2,911.62
  6. Step 6: Final answer
    x = 1,406.39

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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.