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Finding the Fourth Proportional to 11,176.92, 15,405.12 and 7,633.98

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Solution

The fourth proportional to 11,176.92, 15,405.12 and 7,633.98 is: 10,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.92 : 15,405.12 = 7,633.98 : x
  2. Step 2: Convert to fraction form
    11,176.92/15,405.12 = 7,633.98/x
  3. Step 3: Cross multiply
    11,176.92x = 15,405.12 × 7,633.98
  4. Step 4: Simplify right side
    11,176.92x = 117,602,377.98
  5. Step 5: Solve for x
    x = 117,602,377.98/11,176.92
  6. Step 6: Final answer
    x = 10,521.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.