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Finding the Fourth Proportional to 30,027.50, 45,041.88 and 9,251

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Solution

The fourth proportional to 30,027.50, 45,041.88 and 9,251 is: 13,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,027.50 : 45,041.88 = 9,251 : x
  2. Step 2: Convert to fraction form
    30,027.50/45,041.88 = 9,251/x
  3. Step 3: Cross multiply
    30,027.50x = 45,041.88 × 9,251
  4. Step 4: Simplify right side
    30,027.50x = 416,682,431.88
  5. Step 5: Solve for x
    x = 416,682,431.88/30,027.50
  6. Step 6: Final answer
    x = 13,876.69

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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.