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Finding the Fourth Proportional to 7,136.64, 9,785.88 and 6,889.44

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Solution

The fourth proportional to 7,136.64, 9,785.88 and 6,889.44 is: 9,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.64 : 9,785.88 = 6,889.44 : x
  2. Step 2: Convert to fraction form
    7,136.64/9,785.88 = 6,889.44/x
  3. Step 3: Cross multiply
    7,136.64x = 9,785.88 × 6,889.44
  4. Step 4: Simplify right side
    7,136.64x = 67,419,233.11
  5. Step 5: Solve for x
    x = 67,419,233.11/7,136.64
  6. Step 6: Final answer
    x = 9,446.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.