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Finding the Fourth Proportional to 11,426.17, 15,774.92 and 7,180.82

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Solution

The fourth proportional to 11,426.17, 15,774.92 and 7,180.82 is: 9,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.17 : 15,774.92 = 7,180.82 : x
  2. Step 2: Convert to fraction form
    11,426.17/15,774.92 = 7,180.82/x
  3. Step 3: Cross multiply
    11,426.17x = 15,774.92 × 7,180.82
  4. Step 4: Simplify right side
    11,426.17x = 113,276,825.13
  5. Step 5: Solve for x
    x = 113,276,825.13/11,426.17
  6. Step 6: Final answer
    x = 9,913.81

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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.