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Finding the Fourth Proportional to 30,612.87, 45,919.56 and 8,427.48

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Solution

The fourth proportional to 30,612.87, 45,919.56 and 8,427.48 is: 12,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,612.87 : 45,919.56 = 8,427.48 : x
  2. Step 2: Convert to fraction form
    30,612.87/45,919.56 = 8,427.48/x
  3. Step 3: Cross multiply
    30,612.87x = 45,919.56 × 8,427.48
  4. Step 4: Simplify right side
    30,612.87x = 386,986,173.51
  5. Step 5: Solve for x
    x = 386,986,173.51/30,612.87
  6. Step 6: Final answer
    x = 12,641.29

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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.