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Finding the Fourth Proportional to 9,983.45, 13,777.09 and 5,507.39

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Solution

The fourth proportional to 9,983.45, 13,777.09 and 5,507.39 is: 7,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.45 : 13,777.09 = 5,507.39 : x
  2. Step 2: Convert to fraction form
    9,983.45/13,777.09 = 5,507.39/x
  3. Step 3: Cross multiply
    9,983.45x = 13,777.09 × 5,507.39
  4. Step 4: Simplify right side
    9,983.45x = 75,875,828.37
  5. Step 5: Solve for x
    x = 75,875,828.37/9,983.45
  6. Step 6: Final answer
    x = 7,600.16

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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.