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Finding the Fourth Proportional to 1,916.90, 2,640.10 and 1,771.10

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Solution

The fourth proportional to 1,916.90, 2,640.10 and 1,771.10 is: 2,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.90 : 2,640.10 = 1,771.10 : x
  2. Step 2: Convert to fraction form
    1,916.90/2,640.10 = 1,771.10/x
  3. Step 3: Cross multiply
    1,916.90x = 2,640.10 × 1,771.10
  4. Step 4: Simplify right side
    1,916.90x = 4,675,881.11
  5. Step 5: Solve for x
    x = 4,675,881.11/1,916.90
  6. Step 6: Final answer
    x = 2,439.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.