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Finding the Fourth Proportional to 7,239.78, 9,980 and 5,665.14

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Solution

The fourth proportional to 7,239.78, 9,980 and 5,665.14 is: 7,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.78 : 9,980 = 5,665.14 : x
  2. Step 2: Convert to fraction form
    7,239.78/9,980 = 5,665.14/x
  3. Step 3: Cross multiply
    7,239.78x = 9,980 × 5,665.14
  4. Step 4: Simplify right side
    7,239.78x = 56,538,097.20
  5. Step 5: Solve for x
    x = 56,538,097.20/7,239.78
  6. Step 6: Final answer
    x = 7,809.37

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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.