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Finding the Fourth Proportional to 7,602, 11,404.68 and 3,223.20

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Solution

The fourth proportional to 7,602, 11,404.68 and 3,223.20 is: 4,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602 : 11,404.68 = 3,223.20 : x
  2. Step 2: Convert to fraction form
    7,602/11,404.68 = 3,223.20/x
  3. Step 3: Cross multiply
    7,602x = 11,404.68 × 3,223.20
  4. Step 4: Simplify right side
    7,602x = 36,759,564.58
  5. Step 5: Solve for x
    x = 36,759,564.58/7,602
  6. Step 6: Final answer
    x = 4,835.51

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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.