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Finding the Fourth Proportional to 30,474.78, 45,712.20 and 12,006.78

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Solution

The fourth proportional to 30,474.78, 45,712.20 and 12,006.78 is: 18,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.78 : 45,712.20 = 12,006.78 : x
  2. Step 2: Convert to fraction form
    30,474.78/45,712.20 = 12,006.78/x
  3. Step 3: Cross multiply
    30,474.78x = 45,712.20 × 12,006.78
  4. Step 4: Simplify right side
    30,474.78x = 548,856,328.72
  5. Step 5: Solve for x
    x = 548,856,328.72/30,474.78
  6. Step 6: Final answer
    x = 18,010.18

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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.