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Finding the Fourth Proportional to 11,318.31, 15,619.11 and 6,282.51

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Solution

The fourth proportional to 11,318.31, 15,619.11 and 6,282.51 is: 8,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318.31 : 15,619.11 = 6,282.51 : x
  2. Step 2: Convert to fraction form
    11,318.31/15,619.11 = 6,282.51/x
  3. Step 3: Cross multiply
    11,318.31x = 15,619.11 × 6,282.51
  4. Step 4: Simplify right side
    11,318.31x = 98,127,214.77
  5. Step 5: Solve for x
    x = 98,127,214.77/11,318.31
  6. Step 6: Final answer
    x = 8,669.78

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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.