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Finding the Fourth Proportional to 7,697, 11,537.40 and 5,499.20

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Solution

The fourth proportional to 7,697, 11,537.40 and 5,499.20 is: 8,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697 : 11,537.40 = 5,499.20 : x
  2. Step 2: Convert to fraction form
    7,697/11,537.40 = 5,499.20/x
  3. Step 3: Cross multiply
    7,697x = 11,537.40 × 5,499.20
  4. Step 4: Simplify right side
    7,697x = 63,446,470.08
  5. Step 5: Solve for x
    x = 63,446,470.08/7,697
  6. Step 6: Final answer
    x = 8,243.01

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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.