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Finding the Fourth Proportional to 2,891.21, 4,337.34 and 917.33

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Solution

The fourth proportional to 2,891.21, 4,337.34 and 917.33 is: 1,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.21 : 4,337.34 = 917.33 : x
  2. Step 2: Convert to fraction form
    2,891.21/4,337.34 = 917.33/x
  3. Step 3: Cross multiply
    2,891.21x = 4,337.34 × 917.33
  4. Step 4: Simplify right side
    2,891.21x = 3,978,772.10
  5. Step 5: Solve for x
    x = 3,978,772.10/2,891.21
  6. Step 6: Final answer
    x = 1,376.16

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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.