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Finding the Fourth Proportional to 9,225.80, 13,841.02 and 2,652

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Solution

The fourth proportional to 9,225.80, 13,841.02 and 2,652 is: 3,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.80 : 13,841.02 = 2,652 : x
  2. Step 2: Convert to fraction form
    9,225.80/13,841.02 = 2,652/x
  3. Step 3: Cross multiply
    9,225.80x = 13,841.02 × 2,652
  4. Step 4: Simplify right side
    9,225.80x = 36,706,388.36
  5. Step 5: Solve for x
    x = 36,706,388.36/9,225.80
  6. Step 6: Final answer
    x = 3,978.67

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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.