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Finding the Fourth Proportional to 13,134.45, 19,705.32 and 7,295.16

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Solution

The fourth proportional to 13,134.45, 19,705.32 and 7,295.16 is: 10,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.45 : 19,705.32 = 7,295.16 : x
  2. Step 2: Convert to fraction form
    13,134.45/19,705.32 = 7,295.16/x
  3. Step 3: Cross multiply
    13,134.45x = 19,705.32 × 7,295.16
  4. Step 4: Simplify right side
    13,134.45x = 143,753,462.25
  5. Step 5: Solve for x
    x = 143,753,462.25/13,134.45
  6. Step 6: Final answer
    x = 10,944.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.