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Finding the Fourth Proportional to 9,129.82, 13,694.72 and 2,973.82

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Solution

The fourth proportional to 9,129.82, 13,694.72 and 2,973.82 is: 4,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.82 : 13,694.72 = 2,973.82 : x
  2. Step 2: Convert to fraction form
    9,129.82/13,694.72 = 2,973.82/x
  3. Step 3: Cross multiply
    9,129.82x = 13,694.72 × 2,973.82
  4. Step 4: Simplify right side
    9,129.82x = 40,725,563.76
  5. Step 5: Solve for x
    x = 40,725,563.76/9,129.82
  6. Step 6: Final answer
    x = 4,460.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.