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Finding the Fourth Proportional to 15,667.74, 23,500.75 and 5,136.42

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Solution

The fourth proportional to 15,667.74, 23,500.75 and 5,136.42 is: 7,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667.74 : 23,500.75 = 5,136.42 : x
  2. Step 2: Convert to fraction form
    15,667.74/23,500.75 = 5,136.42/x
  3. Step 3: Cross multiply
    15,667.74x = 23,500.75 × 5,136.42
  4. Step 4: Simplify right side
    15,667.74x = 120,709,722.32
  5. Step 5: Solve for x
    x = 120,709,722.32/15,667.74
  6. Step 6: Final answer
    x = 7,704.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.