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Finding the Fourth Proportional to 7,136.80, 10,705.20 and 6,409.60

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Solution

The fourth proportional to 7,136.80, 10,705.20 and 6,409.60 is: 9,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.80 : 10,705.20 = 6,409.60 : x
  2. Step 2: Convert to fraction form
    7,136.80/10,705.20 = 6,409.60/x
  3. Step 3: Cross multiply
    7,136.80x = 10,705.20 × 6,409.60
  4. Step 4: Simplify right side
    7,136.80x = 68,616,049.92
  5. Step 5: Solve for x
    x = 68,616,049.92/7,136.80
  6. Step 6: Final answer
    x = 9,614.40

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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.