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Finding the Fourth Proportional to 20,513.49, 30,770.22 and 4,931.11

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Solution

The fourth proportional to 20,513.49, 30,770.22 and 4,931.11 is: 7,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.49 : 30,770.22 = 4,931.11 : x
  2. Step 2: Convert to fraction form
    20,513.49/30,770.22 = 4,931.11/x
  3. Step 3: Cross multiply
    20,513.49x = 30,770.22 × 4,931.11
  4. Step 4: Simplify right side
    20,513.49x = 151,731,339.54
  5. Step 5: Solve for x
    x = 151,731,339.54/20,513.49
  6. Step 6: Final answer
    x = 7,396.66

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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.