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Finding the Fourth Proportional to 30,546.81, 45,827.39 and 9,485.76

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Solution

The fourth proportional to 30,546.81, 45,827.39 and 9,485.76 is: 14,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546.81 : 45,827.39 = 9,485.76 : x
  2. Step 2: Convert to fraction form
    30,546.81/45,827.39 = 9,485.76/x
  3. Step 3: Cross multiply
    30,546.81x = 45,827.39 × 9,485.76
  4. Step 4: Simplify right side
    30,546.81x = 434,707,575.54
  5. Step 5: Solve for x
    x = 434,707,575.54/30,546.81
  6. Step 6: Final answer
    x = 14,230.87

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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.