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Finding the Fourth Proportional to 13,504, 18,635.48 and 7,535.28

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Solution

The fourth proportional to 13,504, 18,635.48 and 7,535.28 is: 10,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504 : 18,635.48 = 7,535.28 : x
  2. Step 2: Convert to fraction form
    13,504/18,635.48 = 7,535.28/x
  3. Step 3: Cross multiply
    13,504x = 18,635.48 × 7,535.28
  4. Step 4: Simplify right side
    13,504x = 140,423,559.73
  5. Step 5: Solve for x
    x = 140,423,559.73/13,504
  6. Step 6: Final answer
    x = 10,398.66

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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.