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Finding the Fourth Proportional to 30,471.68, 45,713.24 and 13,832.88

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Solution

The fourth proportional to 30,471.68, 45,713.24 and 13,832.88 is: 20,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.68 : 45,713.24 = 13,832.88 : x
  2. Step 2: Convert to fraction form
    30,471.68/45,713.24 = 13,832.88/x
  3. Step 3: Cross multiply
    30,471.68x = 45,713.24 × 13,832.88
  4. Step 4: Simplify right side
    30,471.68x = 632,345,763.33
  5. Step 5: Solve for x
    x = 632,345,763.33/30,471.68
  6. Step 6: Final answer
    x = 20,751.92

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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.