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Finding the Fourth Proportional to 9,368.82, 12,929.79 and 5,177.88

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Solution

The fourth proportional to 9,368.82, 12,929.79 and 5,177.88 is: 7,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.82 : 12,929.79 = 5,177.88 : x
  2. Step 2: Convert to fraction form
    9,368.82/12,929.79 = 5,177.88/x
  3. Step 3: Cross multiply
    9,368.82x = 12,929.79 × 5,177.88
  4. Step 4: Simplify right side
    9,368.82x = 66,948,901.05
  5. Step 5: Solve for x
    x = 66,948,901.05/9,368.82
  6. Step 6: Final answer
    x = 7,145.93

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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.