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Finding the Fourth Proportional to 7,120.64, 9,816.60 and 6,136.40

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Solution

The fourth proportional to 7,120.64, 9,816.60 and 6,136.40 is: 8,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.64 : 9,816.60 = 6,136.40 : x
  2. Step 2: Convert to fraction form
    7,120.64/9,816.60 = 6,136.40/x
  3. Step 3: Cross multiply
    7,120.64x = 9,816.60 × 6,136.40
  4. Step 4: Simplify right side
    7,120.64x = 60,238,584.24
  5. Step 5: Solve for x
    x = 60,238,584.24/7,120.64
  6. Step 6: Final answer
    x = 8,459.71

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1.5x scale

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.