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Finding the Fourth Proportional to 20,645.77, 30,971.45 and 7,501.90

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Solution

The fourth proportional to 20,645.77, 30,971.45 and 7,501.90 is: 11,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.77 : 30,971.45 = 7,501.90 : x
  2. Step 2: Convert to fraction form
    20,645.77/30,971.45 = 7,501.90/x
  3. Step 3: Cross multiply
    20,645.77x = 30,971.45 × 7,501.90
  4. Step 4: Simplify right side
    20,645.77x = 232,344,720.76
  5. Step 5: Solve for x
    x = 232,344,720.76/20,645.77
  6. Step 6: Final answer
    x = 11,253.87

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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.