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Finding the Fourth Proportional to 11,238.81, 15,509.45 and 6,203.08

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Solution

The fourth proportional to 11,238.81, 15,509.45 and 6,203.08 is: 8,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.81 : 15,509.45 = 6,203.08 : x
  2. Step 2: Convert to fraction form
    11,238.81/15,509.45 = 6,203.08/x
  3. Step 3: Cross multiply
    11,238.81x = 15,509.45 × 6,203.08
  4. Step 4: Simplify right side
    11,238.81x = 96,206,359.11
  5. Step 5: Solve for x
    x = 96,206,359.11/11,238.81
  6. Step 6: Final answer
    x = 8,560.19

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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.