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Finding the Fourth Proportional to 13,754.26, 18,985.80 and 8,165.26

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Solution

The fourth proportional to 13,754.26, 18,985.80 and 8,165.26 is: 11,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.26 : 18,985.80 = 8,165.26 : x
  2. Step 2: Convert to fraction form
    13,754.26/18,985.80 = 8,165.26/x
  3. Step 3: Cross multiply
    13,754.26x = 18,985.80 × 8,165.26
  4. Step 4: Simplify right side
    13,754.26x = 155,023,993.31
  5. Step 5: Solve for x
    x = 155,023,993.31/13,754.26
  6. Step 6: Final answer
    x = 11,270.98

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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.