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Finding the Fourth Proportional to 7,746, 10,695 and 4,765.80

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Solution

The fourth proportional to 7,746, 10,695 and 4,765.80 is: 6,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746 : 10,695 = 4,765.80 : x
  2. Step 2: Convert to fraction form
    7,746/10,695 = 4,765.80/x
  3. Step 3: Cross multiply
    7,746x = 10,695 × 4,765.80
  4. Step 4: Simplify right side
    7,746x = 50,970,231
  5. Step 5: Solve for x
    x = 50,970,231/7,746
  6. Step 6: Final answer
    x = 6,580.20

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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.