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Finding the Fourth Proportional to 3,424.30, 5,136.50 and 959.16

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Solution

The fourth proportional to 3,424.30, 5,136.50 and 959.16 is: 1,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.30 : 5,136.50 = 959.16 : x
  2. Step 2: Convert to fraction form
    3,424.30/5,136.50 = 959.16/x
  3. Step 3: Cross multiply
    3,424.30x = 5,136.50 × 959.16
  4. Step 4: Simplify right side
    3,424.30x = 4,926,725.34
  5. Step 5: Solve for x
    x = 4,926,725.34/3,424.30
  6. Step 6: Final answer
    x = 1,438.75

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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.