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Finding the Fourth Proportional to 9,228, 13,841.94 and 2,302.50

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Solution

The fourth proportional to 9,228, 13,841.94 and 2,302.50 is: 3,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228 : 13,841.94 = 2,302.50 : x
  2. Step 2: Convert to fraction form
    9,228/13,841.94 = 2,302.50/x
  3. Step 3: Cross multiply
    9,228x = 13,841.94 × 2,302.50
  4. Step 4: Simplify right side
    9,228x = 31,871,066.85
  5. Step 5: Solve for x
    x = 31,871,066.85/9,228
  6. Step 6: Final answer
    x = 3,453.74

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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.