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Finding the Fourth Proportional to 14,480.83, 19,983 and 8,193.34

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Solution

The fourth proportional to 14,480.83, 19,983 and 8,193.34 is: 11,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.83 : 19,983 = 8,193.34 : x
  2. Step 2: Convert to fraction form
    14,480.83/19,983 = 8,193.34/x
  3. Step 3: Cross multiply
    14,480.83x = 19,983 × 8,193.34
  4. Step 4: Simplify right side
    14,480.83x = 163,727,513.22
  5. Step 5: Solve for x
    x = 163,727,513.22/14,480.83
  6. Step 6: Final answer
    x = 11,306.50

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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.