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Finding the Fourth Proportional to 20,461.48, 30,692.81 and 7,981

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Solution

The fourth proportional to 20,461.48, 30,692.81 and 7,981 is: 11,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.48 : 30,692.81 = 7,981 : x
  2. Step 2: Convert to fraction form
    20,461.48/30,692.81 = 7,981/x
  3. Step 3: Cross multiply
    20,461.48x = 30,692.81 × 7,981
  4. Step 4: Simplify right side
    20,461.48x = 244,959,316.61
  5. Step 5: Solve for x
    x = 244,959,316.61/20,461.48
  6. Step 6: Final answer
    x = 11,971.73

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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.