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Finding the Fourth Proportional to 21,048.12, 31,568.94 and 7,197.12

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Solution

The fourth proportional to 21,048.12, 31,568.94 and 7,197.12 is: 10,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.12 : 31,568.94 = 7,197.12 : x
  2. Step 2: Convert to fraction form
    21,048.12/31,568.94 = 7,197.12/x
  3. Step 3: Cross multiply
    21,048.12x = 31,568.94 × 7,197.12
  4. Step 4: Simplify right side
    21,048.12x = 227,205,449.45
  5. Step 5: Solve for x
    x = 227,205,449.45/21,048.12
  6. Step 6: Final answer
    x = 10,794.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.