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Finding the Fourth Proportional to 13,911.74, 20,869.64 and 4,049.74

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Solution

The fourth proportional to 13,911.74, 20,869.64 and 4,049.74 is: 6,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.74 : 20,869.64 = 4,049.74 : x
  2. Step 2: Convert to fraction form
    13,911.74/20,869.64 = 4,049.74/x
  3. Step 3: Cross multiply
    13,911.74x = 20,869.64 × 4,049.74
  4. Step 4: Simplify right side
    13,911.74x = 84,516,615.89
  5. Step 5: Solve for x
    x = 84,516,615.89/13,911.74
  6. Step 6: Final answer
    x = 6,075.20

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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.