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Finding the Fourth Proportional to 13,856.60, 19,122.09 and 7,568.98

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Solution

The fourth proportional to 13,856.60, 19,122.09 and 7,568.98 is: 10,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.60 : 19,122.09 = 7,568.98 : x
  2. Step 2: Convert to fraction form
    13,856.60/19,122.09 = 7,568.98/x
  3. Step 3: Cross multiply
    13,856.60x = 19,122.09 × 7,568.98
  4. Step 4: Simplify right side
    13,856.60x = 144,734,683.15
  5. Step 5: Solve for x
    x = 144,734,683.15/13,856.60
  6. Step 6: Final answer
    x = 10,445.18

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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.