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Finding the Fourth Proportional to 13,870.00, 20,800.90 and 5,102.87

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Solution

The fourth proportional to 13,870.00, 20,800.90 and 5,102.87 is: 7,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.00 : 20,800.90 = 5,102.87 : x
  2. Step 2: Convert to fraction form
    13,870.00/20,800.90 = 5,102.87/x
  3. Step 3: Cross multiply
    13,870.00x = 20,800.90 × 5,102.87
  4. Step 4: Simplify right side
    13,870.00x = 106,144,190.96
  5. Step 5: Solve for x
    x = 106,144,190.96/13,870.00
  6. Step 6: Final answer
    x = 7,652.79

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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.