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Finding the Fourth Proportional to 8,074, 12,111.74 and 2,809.95

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Solution

The fourth proportional to 8,074, 12,111.74 and 2,809.95 is: 4,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074 : 12,111.74 = 2,809.95 : x
  2. Step 2: Convert to fraction form
    8,074/12,111.74 = 2,809.95/x
  3. Step 3: Cross multiply
    8,074x = 12,111.74 × 2,809.95
  4. Step 4: Simplify right side
    8,074x = 34,033,383.81
  5. Step 5: Solve for x
    x = 34,033,383.81/8,074
  6. Step 6: Final answer
    x = 4,215.18

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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.