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Finding the Fourth Proportional to 14,797.74, 20,420.54 and 8,083.40

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Solution

The fourth proportional to 14,797.74, 20,420.54 and 8,083.40 is: 11,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.74 : 20,420.54 = 8,083.40 : x
  2. Step 2: Convert to fraction form
    14,797.74/20,420.54 = 8,083.40/x
  3. Step 3: Cross multiply
    14,797.74x = 20,420.54 × 8,083.40
  4. Step 4: Simplify right side
    14,797.74x = 165,067,314.93
  5. Step 5: Solve for x
    x = 165,067,314.93/14,797.74
  6. Step 6: Final answer
    x = 11,154.90

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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.