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Finding the Fourth Proportional to 13,911.76, 20,871.07 and 4,051.12

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Solution

The fourth proportional to 13,911.76, 20,871.07 and 4,051.12 is: 6,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.76 : 20,871.07 = 4,051.12 : x
  2. Step 2: Convert to fraction form
    13,911.76/20,871.07 = 4,051.12/x
  3. Step 3: Cross multiply
    13,911.76x = 20,871.07 × 4,051.12
  4. Step 4: Simplify right side
    13,911.76x = 84,551,188.84
  5. Step 5: Solve for x
    x = 84,551,188.84/13,911.76
  6. Step 6: Final answer
    x = 6,077.68

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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.