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Finding the Fourth Proportional to 9,919.84, 14,879.76 and 4,074.88

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Solution

The fourth proportional to 9,919.84, 14,879.76 and 4,074.88 is: 6,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.84 : 14,879.76 = 4,074.88 : x
  2. Step 2: Convert to fraction form
    9,919.84/14,879.76 = 4,074.88/x
  3. Step 3: Cross multiply
    9,919.84x = 14,879.76 × 4,074.88
  4. Step 4: Simplify right side
    9,919.84x = 60,633,236.43
  5. Step 5: Solve for x
    x = 60,633,236.43/9,919.84
  6. Step 6: Final answer
    x = 6,112.32

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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.