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Finding the Fourth Proportional to 3,943.48, 5,916.10 and 1,635

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Solution

The fourth proportional to 3,943.48, 5,916.10 and 1,635 is: 2,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.48 : 5,916.10 = 1,635 : x
  2. Step 2: Convert to fraction form
    3,943.48/5,916.10 = 1,635/x
  3. Step 3: Cross multiply
    3,943.48x = 5,916.10 × 1,635
  4. Step 4: Simplify right side
    3,943.48x = 9,672,823.50
  5. Step 5: Solve for x
    x = 9,672,823.50/3,943.48
  6. Step 6: Final answer
    x = 2,452.86

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1.5x scale

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.