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Finding the Fourth Proportional to 20,643.92, 30,947.64 and 7,493.20

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Solution

The fourth proportional to 20,643.92, 30,947.64 and 7,493.20 is: 11,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.92 : 30,947.64 = 7,493.20 : x
  2. Step 2: Convert to fraction form
    20,643.92/30,947.64 = 7,493.20/x
  3. Step 3: Cross multiply
    20,643.92x = 30,947.64 × 7,493.20
  4. Step 4: Simplify right side
    20,643.92x = 231,896,856.05
  5. Step 5: Solve for x
    x = 231,896,856.05/20,643.92
  6. Step 6: Final answer
    x = 11,233.18

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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.