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Finding the Fourth Proportional to 7,626.88, 10,522.20 and 4,640.68

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Solution

The fourth proportional to 7,626.88, 10,522.20 and 4,640.68 is: 6,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626.88 : 10,522.20 = 4,640.68 : x
  2. Step 2: Convert to fraction form
    7,626.88/10,522.20 = 4,640.68/x
  3. Step 3: Cross multiply
    7,626.88x = 10,522.20 × 4,640.68
  4. Step 4: Simplify right side
    7,626.88x = 48,830,163.10
  5. Step 5: Solve for x
    x = 48,830,163.10/7,626.88
  6. Step 6: Final answer
    x = 6,402.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.