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Finding the Fourth Proportional to 7,699.59, 10,625.42 and 4,162.80

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Solution

The fourth proportional to 7,699.59, 10,625.42 and 4,162.80 is: 5,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.59 : 10,625.42 = 4,162.80 : x
  2. Step 2: Convert to fraction form
    7,699.59/10,625.42 = 4,162.80/x
  3. Step 3: Cross multiply
    7,699.59x = 10,625.42 × 4,162.80
  4. Step 4: Simplify right side
    7,699.59x = 44,231,477.56
  5. Step 5: Solve for x
    x = 44,231,477.56/7,699.59
  6. Step 6: Final answer
    x = 5,744.65

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1.5x scale

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.