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Finding the Fourth Proportional to 7,136.64, 10,708.20 and 4,220.64

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Solution

The fourth proportional to 7,136.64, 10,708.20 and 4,220.64 is: 6,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.64 : 10,708.20 = 4,220.64 : x
  2. Step 2: Convert to fraction form
    7,136.64/10,708.20 = 4,220.64/x
  3. Step 3: Cross multiply
    7,136.64x = 10,708.20 × 4,220.64
  4. Step 4: Simplify right side
    7,136.64x = 45,195,457.25
  5. Step 5: Solve for x
    x = 45,195,457.25/7,136.64
  6. Step 6: Final answer
    x = 6,332.88

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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.