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Finding the Fourth Proportional to 13,861.77, 20,800.89 and 5,102.84

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Solution

The fourth proportional to 13,861.77, 20,800.89 and 5,102.84 is: 7,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.77 : 20,800.89 = 5,102.84 : x
  2. Step 2: Convert to fraction form
    13,861.77/20,800.89 = 5,102.84/x
  3. Step 3: Cross multiply
    13,861.77x = 20,800.89 × 5,102.84
  4. Step 4: Simplify right side
    13,861.77x = 106,143,509.52
  5. Step 5: Solve for x
    x = 106,143,509.52/13,861.77
  6. Step 6: Final answer
    x = 7,657.28

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1.5x scale

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.