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Finding the Fourth Proportional to 13,178.80, 19,765 and 4,411.44

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Solution

The fourth proportional to 13,178.80, 19,765 and 4,411.44 is: 6,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.80 : 19,765 = 4,411.44 : x
  2. Step 2: Convert to fraction form
    13,178.80/19,765 = 4,411.44/x
  3. Step 3: Cross multiply
    13,178.80x = 19,765 × 4,411.44
  4. Step 4: Simplify right side
    13,178.80x = 87,192,111.60
  5. Step 5: Solve for x
    x = 87,192,111.60/13,178.80
  6. Step 6: Final answer
    x = 6,616.09

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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.