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Finding the Fourth Proportional to 1,917.89, 2,874.64 and 931.21

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Solution

The fourth proportional to 1,917.89, 2,874.64 and 931.21 is: 1,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.89 : 2,874.64 = 931.21 : x
  2. Step 2: Convert to fraction form
    1,917.89/2,874.64 = 931.21/x
  3. Step 3: Cross multiply
    1,917.89x = 2,874.64 × 931.21
  4. Step 4: Simplify right side
    1,917.89x = 2,676,901.92
  5. Step 5: Solve for x
    x = 2,676,901.92/1,917.89
  6. Step 6: Final answer
    x = 1,395.75

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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.