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Finding the Fourth Proportional to 30,249.43, 45,374.05 and 7,760.09

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Solution

The fourth proportional to 30,249.43, 45,374.05 and 7,760.09 is: 11,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,249.43 : 45,374.05 = 7,760.09 : x
  2. Step 2: Convert to fraction form
    30,249.43/45,374.05 = 7,760.09/x
  3. Step 3: Cross multiply
    30,249.43x = 45,374.05 × 7,760.09
  4. Step 4: Simplify right side
    30,249.43x = 352,106,557.75
  5. Step 5: Solve for x
    x = 352,106,557.75/30,249.43
  6. Step 6: Final answer
    x = 11,640.10

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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.