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Finding the Fourth Proportional to 20,293, 30,439.56 and 7,981

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Solution

The fourth proportional to 20,293, 30,439.56 and 7,981 is: 11,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,293 : 30,439.56 = 7,981 : x
  2. Step 2: Convert to fraction form
    20,293/30,439.56 = 7,981/x
  3. Step 3: Cross multiply
    20,293x = 30,439.56 × 7,981
  4. Step 4: Simplify right side
    20,293x = 242,938,128.36
  5. Step 5: Solve for x
    x = 242,938,128.36/20,293
  6. Step 6: Final answer
    x = 11,971.52

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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.