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Finding the Fourth Proportional to 11,342.82, 15,653.43 and 6,867.39

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Solution

The fourth proportional to 11,342.82, 15,653.43 and 6,867.39 is: 9,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.82 : 15,653.43 = 6,867.39 : x
  2. Step 2: Convert to fraction form
    11,342.82/15,653.43 = 6,867.39/x
  3. Step 3: Cross multiply
    11,342.82x = 15,653.43 × 6,867.39
  4. Step 4: Simplify right side
    11,342.82x = 107,498,208.65
  5. Step 5: Solve for x
    x = 107,498,208.65/11,342.82
  6. Step 6: Final answer
    x = 9,477.20

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1.5x scale

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.