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Finding the Fourth Proportional to 20,775.84, 31,167.84 and 7,628.33

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Solution

The fourth proportional to 20,775.84, 31,167.84 and 7,628.33 is: 11,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.84 : 31,167.84 = 7,628.33 : x
  2. Step 2: Convert to fraction form
    20,775.84/31,167.84 = 7,628.33/x
  3. Step 3: Cross multiply
    20,775.84x = 31,167.84 × 7,628.33
  4. Step 4: Simplify right side
    20,775.84x = 237,758,413.07
  5. Step 5: Solve for x
    x = 237,758,413.07/20,775.84
  6. Step 6: Final answer
    x = 11,443.99

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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.