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Finding the Fourth Proportional to 11,146.71, 15,382.43 and 6,111.14

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Solution

The fourth proportional to 11,146.71, 15,382.43 and 6,111.14 is: 8,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.71 : 15,382.43 = 6,111.14 : x
  2. Step 2: Convert to fraction form
    11,146.71/15,382.43 = 6,111.14/x
  3. Step 3: Cross multiply
    11,146.71x = 15,382.43 × 6,111.14
  4. Step 4: Simplify right side
    11,146.71x = 94,004,152.71
  5. Step 5: Solve for x
    x = 94,004,152.71/11,146.71
  6. Step 6: Final answer
    x = 8,433.35

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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.