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Finding the Fourth Proportional to 13,686.80, 18,887.91 and 8,024.90

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Solution

The fourth proportional to 13,686.80, 18,887.91 and 8,024.90 is: 11,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.80 : 18,887.91 = 8,024.90 : x
  2. Step 2: Convert to fraction form
    13,686.80/18,887.91 = 8,024.90/x
  3. Step 3: Cross multiply
    13,686.80x = 18,887.91 × 8,024.90
  4. Step 4: Simplify right side
    13,686.80x = 151,573,588.96
  5. Step 5: Solve for x
    x = 151,573,588.96/13,686.80
  6. Step 6: Final answer
    x = 11,074.44

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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.