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Finding the Fourth Proportional to 7,197.81, 9,933.69 and 4,213.47

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Solution

The fourth proportional to 7,197.81, 9,933.69 and 4,213.47 is: 5,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.81 : 9,933.69 = 4,213.47 : x
  2. Step 2: Convert to fraction form
    7,197.81/9,933.69 = 4,213.47/x
  3. Step 3: Cross multiply
    7,197.81x = 9,933.69 × 4,213.47
  4. Step 4: Simplify right side
    7,197.81x = 41,855,304.80
  5. Step 5: Solve for x
    x = 41,855,304.80/7,197.81
  6. Step 6: Final answer
    x = 5,815.01

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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.