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Finding the Fourth Proportional to 14,480.81, 19,983.36 and 8,107.46

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Solution

The fourth proportional to 14,480.81, 19,983.36 and 8,107.46 is: 11,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.81 : 19,983.36 = 8,107.46 : x
  2. Step 2: Convert to fraction form
    14,480.81/19,983.36 = 8,107.46/x
  3. Step 3: Cross multiply
    14,480.81x = 19,983.36 × 8,107.46
  4. Step 4: Simplify right side
    14,480.81x = 162,014,291.87
  5. Step 5: Solve for x
    x = 162,014,291.87/14,480.81
  6. Step 6: Final answer
    x = 11,188.21

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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.