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Finding the Fourth Proportional to 5,232.78, 7,222.50 and 3,136.50

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Solution

The fourth proportional to 5,232.78, 7,222.50 and 3,136.50 is: 4,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.78 : 7,222.50 = 3,136.50 : x
  2. Step 2: Convert to fraction form
    5,232.78/7,222.50 = 3,136.50/x
  3. Step 3: Cross multiply
    5,232.78x = 7,222.50 × 3,136.50
  4. Step 4: Simplify right side
    5,232.78x = 22,653,371.25
  5. Step 5: Solve for x
    x = 22,653,371.25/5,232.78
  6. Step 6: Final answer
    x = 4,329.13

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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.