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Finding the Fourth Proportional to 30,471.62, 45,713.14 and 13,832.82

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Solution

The fourth proportional to 30,471.62, 45,713.14 and 13,832.82 is: 20,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.62 : 45,713.14 = 13,832.82 : x
  2. Step 2: Convert to fraction form
    30,471.62/45,713.14 = 13,832.82/x
  3. Step 3: Cross multiply
    30,471.62x = 45,713.14 × 13,832.82
  4. Step 4: Simplify right side
    30,471.62x = 632,341,602.67
  5. Step 5: Solve for x
    x = 632,341,602.67/30,471.62
  6. Step 6: Final answer
    x = 20,751.82

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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.