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Finding the Fourth Proportional to 1,961.36, 2,941.17 and 921.66

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Solution

The fourth proportional to 1,961.36, 2,941.17 and 921.66 is: 1,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.36 : 2,941.17 = 921.66 : x
  2. Step 2: Convert to fraction form
    1,961.36/2,941.17 = 921.66/x
  3. Step 3: Cross multiply
    1,961.36x = 2,941.17 × 921.66
  4. Step 4: Simplify right side
    1,961.36x = 2,710,758.74
  5. Step 5: Solve for x
    x = 2,710,758.74/1,961.36
  6. Step 6: Final answer
    x = 1,382.08

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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.