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Finding the Fourth Proportional to 7,699.76, 11,470.18 and 7,221.68

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Solution

The fourth proportional to 7,699.76, 11,470.18 and 7,221.68 is: 10,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.76 : 11,470.18 = 7,221.68 : x
  2. Step 2: Convert to fraction form
    7,699.76/11,470.18 = 7,221.68/x
  3. Step 3: Cross multiply
    7,699.76x = 11,470.18 × 7,221.68
  4. Step 4: Simplify right side
    7,699.76x = 82,833,969.50
  5. Step 5: Solve for x
    x = 82,833,969.50/7,699.76
  6. Step 6: Final answer
    x = 10,757.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.