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Finding the Fourth Proportional to 30,043.50, 45,065.87 and 9,267

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Solution

The fourth proportional to 30,043.50, 45,065.87 and 9,267 is: 13,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,043.50 : 45,065.87 = 9,267 : x
  2. Step 2: Convert to fraction form
    30,043.50/45,065.87 = 9,267/x
  3. Step 3: Cross multiply
    30,043.50x = 45,065.87 × 9,267
  4. Step 4: Simplify right side
    30,043.50x = 417,625,370.96
  5. Step 5: Solve for x
    x = 417,625,370.96/30,043.50
  6. Step 6: Final answer
    x = 13,900.69

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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.