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Finding the Fourth Proportional to 30,520.98, 45,753.30 and 11,795.40

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Solution

The fourth proportional to 30,520.98, 45,753.30 and 11,795.40 is: 17,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,520.98 : 45,753.30 = 11,795.40 : x
  2. Step 2: Convert to fraction form
    30,520.98/45,753.30 = 11,795.40/x
  3. Step 3: Cross multiply
    30,520.98x = 45,753.30 × 11,795.40
  4. Step 4: Simplify right side
    30,520.98x = 539,678,474.82
  5. Step 5: Solve for x
    x = 539,678,474.82/30,520.98
  6. Step 6: Final answer
    x = 17,682.21

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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.