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Finding the Fourth Proportional to 13,756.76, 20,635.54 and 3,368.50

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Solution

The fourth proportional to 13,756.76, 20,635.54 and 3,368.50 is: 5,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.76 : 20,635.54 = 3,368.50 : x
  2. Step 2: Convert to fraction form
    13,756.76/20,635.54 = 3,368.50/x
  3. Step 3: Cross multiply
    13,756.76x = 20,635.54 × 3,368.50
  4. Step 4: Simplify right side
    13,756.76x = 69,510,816.49
  5. Step 5: Solve for x
    x = 69,510,816.49/13,756.76
  6. Step 6: Final answer
    x = 5,052.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.