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Finding the Fourth Proportional to 7,719.54, 11,560.83 and 7,332.03

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Solution

The fourth proportional to 7,719.54, 11,560.83 and 7,332.03 is: 10,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.54 : 11,560.83 = 7,332.03 : x
  2. Step 2: Convert to fraction form
    7,719.54/11,560.83 = 7,332.03/x
  3. Step 3: Cross multiply
    7,719.54x = 11,560.83 × 7,332.03
  4. Step 4: Simplify right side
    7,719.54x = 84,764,352.38
  5. Step 5: Solve for x
    x = 84,764,352.38/7,719.54
  6. Step 6: Final answer
    x = 10,980.49

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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.