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Finding the Fourth Proportional to 13,772.80, 19,006.14 and 8,031.32

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Solution

The fourth proportional to 13,772.80, 19,006.14 and 8,031.32 is: 11,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.80 : 19,006.14 = 8,031.32 : x
  2. Step 2: Convert to fraction form
    13,772.80/19,006.14 = 8,031.32/x
  3. Step 3: Cross multiply
    13,772.80x = 19,006.14 × 8,031.32
  4. Step 4: Simplify right side
    13,772.80x = 152,644,297.27
  5. Step 5: Solve for x
    x = 152,644,297.27/13,772.80
  6. Step 6: Final answer
    x = 11,083.03

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1.5x scale

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.