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Finding the Fourth Proportional to 22,422.75, 30,947.04 and 12,996.78

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Solution

The fourth proportional to 22,422.75, 30,947.04 and 12,996.78 is: 17,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.75 : 30,947.04 = 12,996.78 : x
  2. Step 2: Convert to fraction form
    22,422.75/30,947.04 = 12,996.78/x
  3. Step 3: Cross multiply
    22,422.75x = 30,947.04 × 12,996.78
  4. Step 4: Simplify right side
    22,422.75x = 402,211,870.53
  5. Step 5: Solve for x
    x = 402,211,870.53/22,422.75
  6. Step 6: Final answer
    x = 17,937.67

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.