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Finding the Fourth Proportional to 11,134.78, 15,366.11 and 6,419.06

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Solution

The fourth proportional to 11,134.78, 15,366.11 and 6,419.06 is: 8,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.78 : 15,366.11 = 6,419.06 : x
  2. Step 2: Convert to fraction form
    11,134.78/15,366.11 = 6,419.06/x
  3. Step 3: Cross multiply
    11,134.78x = 15,366.11 × 6,419.06
  4. Step 4: Simplify right side
    11,134.78x = 98,636,017.19
  5. Step 5: Solve for x
    x = 98,636,017.19/11,134.78
  6. Step 6: Final answer
    x = 8,858.37

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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.