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Finding the Fourth Proportional to 9,182.64, 12,672 and 5,203.92

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Solution

The fourth proportional to 9,182.64, 12,672 and 5,203.92 is: 7,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.64 : 12,672 = 5,203.92 : x
  2. Step 2: Convert to fraction form
    9,182.64/12,672 = 5,203.92/x
  3. Step 3: Cross multiply
    9,182.64x = 12,672 × 5,203.92
  4. Step 4: Simplify right side
    9,182.64x = 65,944,074.24
  5. Step 5: Solve for x
    x = 65,944,074.24/9,182.64
  6. Step 6: Final answer
    x = 7,181.39

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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.