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Finding the Fourth Proportional to 13,707.58, 20,569.56 and 12,592.21

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Solution

The fourth proportional to 13,707.58, 20,569.56 and 12,592.21 is: 18,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.58 : 20,569.56 = 12,592.21 : x
  2. Step 2: Convert to fraction form
    13,707.58/20,569.56 = 12,592.21/x
  3. Step 3: Cross multiply
    13,707.58x = 20,569.56 × 12,592.21
  4. Step 4: Simplify right side
    13,707.58x = 259,016,219.13
  5. Step 5: Solve for x
    x = 259,016,219.13/13,707.58
  6. Step 6: Final answer
    x = 18,895.84

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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.