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Finding the Fourth Proportional to 30,876, 46,314 and 7,502.51

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Solution

The fourth proportional to 30,876, 46,314 and 7,502.51 is: 11,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876 : 46,314 = 7,502.51 : x
  2. Step 2: Convert to fraction form
    30,876/46,314 = 7,502.51/x
  3. Step 3: Cross multiply
    30,876x = 46,314 × 7,502.51
  4. Step 4: Simplify right side
    30,876x = 347,471,016.57
  5. Step 5: Solve for x
    x = 347,471,016.57/30,876
  6. Step 6: Final answer
    x = 11,253.76

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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.