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Finding the Fourth Proportional to 21,329.28, 31,993.86 and 7,478.28

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Solution

The fourth proportional to 21,329.28, 31,993.86 and 7,478.28 is: 11,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329.28 : 31,993.86 = 7,478.28 : x
  2. Step 2: Convert to fraction form
    21,329.28/31,993.86 = 7,478.28/x
  3. Step 3: Cross multiply
    21,329.28x = 31,993.86 × 7,478.28
  4. Step 4: Simplify right side
    21,329.28x = 239,259,043.36
  5. Step 5: Solve for x
    x = 239,259,043.36/21,329.28
  6. Step 6: Final answer
    x = 11,217.40

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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.