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Finding the Fourth Proportional to 13,768, 20,652 and 5,560

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Solution

The fourth proportional to 13,768, 20,652 and 5,560 is: 8,340

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768 : 20,652 = 5,560 : x
  2. Step 2: Convert to fraction form
    13,768/20,652 = 5,560/x
  3. Step 3: Cross multiply
    13,768x = 20,652 × 5,560
  4. Step 4: Simplify right side
    13,768x = 114,825,120
  5. Step 5: Solve for x
    x = 114,825,120/13,768
  6. Step 6: Final answer
    x = 8,340

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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.