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Finding the Fourth Proportional to 3,946.91, 5,916.26 and 1,605.91

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Solution

The fourth proportional to 3,946.91, 5,916.26 and 1,605.91 is: 2,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.91 : 5,916.26 = 1,605.91 : x
  2. Step 2: Convert to fraction form
    3,946.91/5,916.26 = 1,605.91/x
  3. Step 3: Cross multiply
    3,946.91x = 5,916.26 × 1,605.91
  4. Step 4: Simplify right side
    3,946.91x = 9,500,981.10
  5. Step 5: Solve for x
    x = 9,500,981.10/3,946.91
  6. Step 6: Final answer
    x = 2,407.19

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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.