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Finding the Fourth Proportional to 30,472.74, 45,712.35 and 8,286.48

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Solution

The fourth proportional to 30,472.74, 45,712.35 and 8,286.48 is: 12,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.74 : 45,712.35 = 8,286.48 : x
  2. Step 2: Convert to fraction form
    30,472.74/45,712.35 = 8,286.48/x
  3. Step 3: Cross multiply
    30,472.74x = 45,712.35 × 8,286.48
  4. Step 4: Simplify right side
    30,472.74x = 378,794,474.03
  5. Step 5: Solve for x
    x = 378,794,474.03/30,472.74
  6. Step 6: Final answer
    x = 12,430.60

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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.