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Finding the Fourth Proportional to 7,583.78, 11,357.96 and 7,321.02

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Solution

The fourth proportional to 7,583.78, 11,357.96 and 7,321.02 is: 10,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.78 : 11,357.96 = 7,321.02 : x
  2. Step 2: Convert to fraction form
    7,583.78/11,357.96 = 7,321.02/x
  3. Step 3: Cross multiply
    7,583.78x = 11,357.96 × 7,321.02
  4. Step 4: Simplify right side
    7,583.78x = 83,151,852.32
  5. Step 5: Solve for x
    x = 83,151,852.32/7,583.78
  6. Step 6: Final answer
    x = 10,964.43

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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.