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Finding the Fourth Proportional to 6,546.50, 9,033.50 and 3,713.30

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Solution

The fourth proportional to 6,546.50, 9,033.50 and 3,713.30 is: 5,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.50 : 9,033.50 = 3,713.30 : x
  2. Step 2: Convert to fraction form
    6,546.50/9,033.50 = 3,713.30/x
  3. Step 3: Cross multiply
    6,546.50x = 9,033.50 × 3,713.30
  4. Step 4: Simplify right side
    6,546.50x = 33,544,127.42
  5. Step 5: Solve for x
    x = 33,544,127.42/6,546.50
  6. Step 6: Final answer
    x = 5,123.98

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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.