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Finding the Fourth Proportional to 30,309.63, 45,464.44 and 9,249.77

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Solution

The fourth proportional to 30,309.63, 45,464.44 and 9,249.77 is: 13,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.63 : 45,464.44 = 9,249.77 : x
  2. Step 2: Convert to fraction form
    30,309.63/45,464.44 = 9,249.77/x
  3. Step 3: Cross multiply
    30,309.63x = 45,464.44 × 9,249.77
  4. Step 4: Simplify right side
    30,309.63x = 420,535,775.24
  5. Step 5: Solve for x
    x = 420,535,775.24/30,309.63
  6. Step 6: Final answer
    x = 13,874.66

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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.