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Finding the Fourth Proportional to 9,514, 13,129.32 and 5,322.28

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Solution

The fourth proportional to 9,514, 13,129.32 and 5,322.28 is: 7,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514 : 13,129.32 = 5,322.28 : x
  2. Step 2: Convert to fraction form
    9,514/13,129.32 = 5,322.28/x
  3. Step 3: Cross multiply
    9,514x = 13,129.32 × 5,322.28
  4. Step 4: Simplify right side
    9,514x = 69,877,917.25
  5. Step 5: Solve for x
    x = 69,877,917.25/9,514
  6. Step 6: Final answer
    x = 7,344.75

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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.