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Finding the Fourth Proportional to 13,129.96, 19,677.93 and 5,334.52

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Solution

The fourth proportional to 13,129.96, 19,677.93 and 5,334.52 is: 7,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.96 : 19,677.93 = 5,334.52 : x
  2. Step 2: Convert to fraction form
    13,129.96/19,677.93 = 5,334.52/x
  3. Step 3: Cross multiply
    13,129.96x = 19,677.93 × 5,334.52
  4. Step 4: Simplify right side
    13,129.96x = 104,972,311.14
  5. Step 5: Solve for x
    x = 104,972,311.14/13,129.96
  6. Step 6: Final answer
    x = 7,994.87

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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.