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Finding the Fourth Proportional to 20,090, 30,135 and 7,778

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Solution

The fourth proportional to 20,090, 30,135 and 7,778 is: 11,667

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090 : 30,135 = 7,778 : x
  2. Step 2: Convert to fraction form
    20,090/30,135 = 7,778/x
  3. Step 3: Cross multiply
    20,090x = 30,135 × 7,778
  4. Step 4: Simplify right side
    20,090x = 234,390,030
  5. Step 5: Solve for x
    x = 234,390,030/20,090
  6. Step 6: Final answer
    x = 11,667

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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.