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Finding the Fourth Proportional to 13,745.71, 18,973.65 and 9,778.33

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Solution

The fourth proportional to 13,745.71, 18,973.65 and 9,778.33 is: 13,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.71 : 18,973.65 = 9,778.33 : x
  2. Step 2: Convert to fraction form
    13,745.71/18,973.65 = 9,778.33/x
  3. Step 3: Cross multiply
    13,745.71x = 18,973.65 × 9,778.33
  4. Step 4: Simplify right side
    13,745.71x = 185,530,611.00
  5. Step 5: Solve for x
    x = 185,530,611.00/13,745.71
  6. Step 6: Final answer
    x = 13,497.35

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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.