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Finding the Fourth Proportional to 11,357.82, 15,675.12 and 6,642

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Solution

The fourth proportional to 11,357.82, 15,675.12 and 6,642 is: 9,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.82 : 15,675.12 = 6,642 : x
  2. Step 2: Convert to fraction form
    11,357.82/15,675.12 = 6,642/x
  3. Step 3: Cross multiply
    11,357.82x = 15,675.12 × 6,642
  4. Step 4: Simplify right side
    11,357.82x = 104,114,147.04
  5. Step 5: Solve for x
    x = 104,114,147.04/11,357.82
  6. Step 6: Final answer
    x = 9,166.74

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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.