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Finding the Fourth Proportional to 30,685.92, 45,994.32 and 15,114.48

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Solution

The fourth proportional to 30,685.92, 45,994.32 and 15,114.48 is: 22,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.92 : 45,994.32 = 15,114.48 : x
  2. Step 2: Convert to fraction form
    30,685.92/45,994.32 = 15,114.48/x
  3. Step 3: Cross multiply
    30,685.92x = 45,994.32 × 15,114.48
  4. Step 4: Simplify right side
    30,685.92x = 695,180,229.75
  5. Step 5: Solve for x
    x = 695,180,229.75/30,685.92
  6. Step 6: Final answer
    x = 22,654.70

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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.