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Finding the Fourth Proportional to 30,343.75, 45,523.31 and 8,455.75

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Solution

The fourth proportional to 30,343.75, 45,523.31 and 8,455.75 is: 12,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343.75 : 45,523.31 = 8,455.75 : x
  2. Step 2: Convert to fraction form
    30,343.75/45,523.31 = 8,455.75/x
  3. Step 3: Cross multiply
    30,343.75x = 45,523.31 × 8,455.75
  4. Step 4: Simplify right side
    30,343.75x = 384,933,728.53
  5. Step 5: Solve for x
    x = 384,933,728.53/30,343.75
  6. Step 6: Final answer
    x = 12,685.77

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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.