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Finding the Fourth Proportional to 9,710.56, 13,399.84 and 5,518

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Solution

The fourth proportional to 9,710.56, 13,399.84 and 5,518 is: 7,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.56 : 13,399.84 = 5,518 : x
  2. Step 2: Convert to fraction form
    9,710.56/13,399.84 = 5,518/x
  3. Step 3: Cross multiply
    9,710.56x = 13,399.84 × 5,518
  4. Step 4: Simplify right side
    9,710.56x = 73,940,317.12
  5. Step 5: Solve for x
    x = 73,940,317.12/9,710.56
  6. Step 6: Final answer
    x = 7,614.42

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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.