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Finding the Fourth Proportional to 8,101.25, 12,136.28 and 4,972.11

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Solution

The fourth proportional to 8,101.25, 12,136.28 and 4,972.11 is: 7,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.25 : 12,136.28 = 4,972.11 : x
  2. Step 2: Convert to fraction form
    8,101.25/12,136.28 = 4,972.11/x
  3. Step 3: Cross multiply
    8,101.25x = 12,136.28 × 4,972.11
  4. Step 4: Simplify right side
    8,101.25x = 60,342,894.29
  5. Step 5: Solve for x
    x = 60,342,894.29/8,101.25
  6. Step 6: Final answer
    x = 7,448.60

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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.