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Finding the Fourth Proportional to 13,745.15, 18,966.71 and 7,695.73

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Solution

The fourth proportional to 13,745.15, 18,966.71 and 7,695.73 is: 10,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.15 : 18,966.71 = 7,695.73 : x
  2. Step 2: Convert to fraction form
    13,745.15/18,966.71 = 7,695.73/x
  3. Step 3: Cross multiply
    13,745.15x = 18,966.71 × 7,695.73
  4. Step 4: Simplify right side
    13,745.15x = 145,962,679.15
  5. Step 5: Solve for x
    x = 145,962,679.15/13,745.15
  6. Step 6: Final answer
    x = 10,619.21

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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.