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Finding the Fourth Proportional to 8,290.66, 12,435.99 and 2,742.51

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Solution

The fourth proportional to 8,290.66, 12,435.99 and 2,742.51 is: 4,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.66 : 12,435.99 = 2,742.51 : x
  2. Step 2: Convert to fraction form
    8,290.66/12,435.99 = 2,742.51/x
  3. Step 3: Cross multiply
    8,290.66x = 12,435.99 × 2,742.51
  4. Step 4: Simplify right side
    8,290.66x = 34,105,826.93
  5. Step 5: Solve for x
    x = 34,105,826.93/8,290.66
  6. Step 6: Final answer
    x = 4,113.77

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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.