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Finding the Fourth Proportional to 30,552.82, 45,803.10 and 13,906.91

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Solution

The fourth proportional to 30,552.82, 45,803.10 and 13,906.91 is: 20,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,552.82 : 45,803.10 = 13,906.91 : x
  2. Step 2: Convert to fraction form
    30,552.82/45,803.10 = 13,906.91/x
  3. Step 3: Cross multiply
    30,552.82x = 45,803.10 × 13,906.91
  4. Step 4: Simplify right side
    30,552.82x = 636,979,589.42
  5. Step 5: Solve for x
    x = 636,979,589.42/30,552.82
  6. Step 6: Final answer
    x = 20,848.47

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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.