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Finding the Fourth Proportional to 5,157.78, 7,735.42 and 2,381.78

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Solution

The fourth proportional to 5,157.78, 7,735.42 and 2,381.78 is: 3,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.78 : 7,735.42 = 2,381.78 : x
  2. Step 2: Convert to fraction form
    5,157.78/7,735.42 = 2,381.78/x
  3. Step 3: Cross multiply
    5,157.78x = 7,735.42 × 2,381.78
  4. Step 4: Simplify right side
    5,157.78x = 18,424,068.65
  5. Step 5: Solve for x
    x = 18,424,068.65/5,157.78
  6. Step 6: Final answer
    x = 3,572.09

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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.