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Finding the Fourth Proportional to 13,993.28, 19,309.92 and 8,403.20

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Solution

The fourth proportional to 13,993.28, 19,309.92 and 8,403.20 is: 11,595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.28 : 19,309.92 = 8,403.20 : x
  2. Step 2: Convert to fraction form
    13,993.28/19,309.92 = 8,403.20/x
  3. Step 3: Cross multiply
    13,993.28x = 19,309.92 × 8,403.20
  4. Step 4: Simplify right side
    13,993.28x = 162,265,119.74
  5. Step 5: Solve for x
    x = 162,265,119.74/13,993.28
  6. Step 6: Final answer
    x = 11,595.93

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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.