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Finding the Fourth Proportional to 30,439.68, 45,654.24 and 8,250.12

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Solution

The fourth proportional to 30,439.68, 45,654.24 and 8,250.12 is: 12,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.68 : 45,654.24 = 8,250.12 : x
  2. Step 2: Convert to fraction form
    30,439.68/45,654.24 = 8,250.12/x
  3. Step 3: Cross multiply
    30,439.68x = 45,654.24 × 8,250.12
  4. Step 4: Simplify right side
    30,439.68x = 376,652,958.51
  5. Step 5: Solve for x
    x = 376,652,958.51/30,439.68
  6. Step 6: Final answer
    x = 12,373.75

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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.