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Finding the Fourth Proportional to 6,673.50, 9,209.43 and 3,729.50

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Solution

The fourth proportional to 6,673.50, 9,209.43 and 3,729.50 is: 5,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.50 : 9,209.43 = 3,729.50 : x
  2. Step 2: Convert to fraction form
    6,673.50/9,209.43 = 3,729.50/x
  3. Step 3: Cross multiply
    6,673.50x = 9,209.43 × 3,729.50
  4. Step 4: Simplify right side
    6,673.50x = 34,346,569.19
  5. Step 5: Solve for x
    x = 34,346,569.19/6,673.50
  6. Step 6: Final answer
    x = 5,146.71

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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.