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Finding the Fourth Proportional to 5,903.53, 8,149.31 and 3,916.78

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Solution

The fourth proportional to 5,903.53, 8,149.31 and 3,916.78 is: 5,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.53 : 8,149.31 = 3,916.78 : x
  2. Step 2: Convert to fraction form
    5,903.53/8,149.31 = 3,916.78/x
  3. Step 3: Cross multiply
    5,903.53x = 8,149.31 × 3,916.78
  4. Step 4: Simplify right side
    5,903.53x = 31,919,052.07
  5. Step 5: Solve for x
    x = 31,919,052.07/5,903.53
  6. Step 6: Final answer
    x = 5,406.77

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1.5x scale

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.