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Finding the Fourth Proportional to 13,494.60, 20,289.96 and 11,774.16

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Solution

The fourth proportional to 13,494.60, 20,289.96 and 11,774.16 is: 17,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.60 : 20,289.96 = 11,774.16 : x
  2. Step 2: Convert to fraction form
    13,494.60/20,289.96 = 11,774.16/x
  3. Step 3: Cross multiply
    13,494.60x = 20,289.96 × 11,774.16
  4. Step 4: Simplify right side
    13,494.60x = 238,897,235.43
  5. Step 5: Solve for x
    x = 238,897,235.43/13,494.60
  6. Step 6: Final answer
    x = 17,703.17

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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.