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Finding the Fourth Proportional to 19,874.48, 29,811.08 and 8,178.88

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Solution

The fourth proportional to 19,874.48, 29,811.08 and 8,178.88 is: 12,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.48 : 29,811.08 = 8,178.88 : x
  2. Step 2: Convert to fraction form
    19,874.48/29,811.08 = 8,178.88/x
  3. Step 3: Cross multiply
    19,874.48x = 29,811.08 × 8,178.88
  4. Step 4: Simplify right side
    19,874.48x = 243,821,245.99
  5. Step 5: Solve for x
    x = 243,821,245.99/19,874.48
  6. Step 6: Final answer
    x = 12,268.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.