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Finding the Fourth Proportional to 1,916.03, 2,876.07 and 942.82

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Solution

The fourth proportional to 1,916.03, 2,876.07 and 942.82 is: 1,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.03 : 2,876.07 = 942.82 : x
  2. Step 2: Convert to fraction form
    1,916.03/2,876.07 = 942.82/x
  3. Step 3: Cross multiply
    1,916.03x = 2,876.07 × 942.82
  4. Step 4: Simplify right side
    1,916.03x = 2,711,601.94
  5. Step 5: Solve for x
    x = 2,711,601.94/1,916.03
  6. Step 6: Final answer
    x = 1,415.22

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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.