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Finding the Fourth Proportional to 3,535.73, 5,302.99 and 938.93

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Solution

The fourth proportional to 3,535.73, 5,302.99 and 938.93 is: 1,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.73 : 5,302.99 = 938.93 : x
  2. Step 2: Convert to fraction form
    3,535.73/5,302.99 = 938.93/x
  3. Step 3: Cross multiply
    3,535.73x = 5,302.99 × 938.93
  4. Step 4: Simplify right side
    3,535.73x = 4,979,136.40
  5. Step 5: Solve for x
    x = 4,979,136.40/3,535.73
  6. Step 6: Final answer
    x = 1,408.23

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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.