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Finding the Fourth Proportional to 1,931.09, 2,896.07 and 943.29

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Solution

The fourth proportional to 1,931.09, 2,896.07 and 943.29 is: 1,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.09 : 2,896.07 = 943.29 : x
  2. Step 2: Convert to fraction form
    1,931.09/2,896.07 = 943.29/x
  3. Step 3: Cross multiply
    1,931.09x = 2,896.07 × 943.29
  4. Step 4: Simplify right side
    1,931.09x = 2,731,829.15
  5. Step 5: Solve for x
    x = 2,731,829.15/1,931.09
  6. Step 6: Final answer
    x = 1,414.66

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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.