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Finding the Fourth Proportional to 20,645.75, 30,968.66 and 7,498.10

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Solution

The fourth proportional to 20,645.75, 30,968.66 and 7,498.10 is: 11,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.75 : 30,968.66 = 7,498.10 : x
  2. Step 2: Convert to fraction form
    20,645.75/30,968.66 = 7,498.10/x
  3. Step 3: Cross multiply
    20,645.75x = 30,968.66 × 7,498.10
  4. Step 4: Simplify right side
    20,645.75x = 232,206,205.71
  5. Step 5: Solve for x
    x = 232,206,205.71/20,645.75
  6. Step 6: Final answer
    x = 11,247.17

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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.