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Finding the Fourth Proportional to 13,698.50, 18,895.95 and 8,031.87

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Solution

The fourth proportional to 13,698.50, 18,895.95 and 8,031.87 is: 11,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.50 : 18,895.95 = 8,031.87 : x
  2. Step 2: Convert to fraction form
    13,698.50/18,895.95 = 8,031.87/x
  3. Step 3: Cross multiply
    13,698.50x = 18,895.95 × 8,031.87
  4. Step 4: Simplify right side
    13,698.50x = 151,769,813.93
  5. Step 5: Solve for x
    x = 151,769,813.93/13,698.50
  6. Step 6: Final answer
    x = 11,079.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.