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Finding the Fourth Proportional to 13,790.08, 19,029.76 and 7,502.24

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Solution

The fourth proportional to 13,790.08, 19,029.76 and 7,502.24 is: 10,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.08 : 19,029.76 = 7,502.24 : x
  2. Step 2: Convert to fraction form
    13,790.08/19,029.76 = 7,502.24/x
  3. Step 3: Cross multiply
    13,790.08x = 19,029.76 × 7,502.24
  4. Step 4: Simplify right side
    13,790.08x = 142,765,826.66
  5. Step 5: Solve for x
    x = 142,765,826.66/13,790.08
  6. Step 6: Final answer
    x = 10,352.79

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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.