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Finding the Fourth Proportional to 8,284, 12,488.16 and 7,734.08

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Solution

The fourth proportional to 8,284, 12,488.16 and 7,734.08 is: 11,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 12,488.16 = 7,734.08 : x
  2. Step 2: Convert to fraction form
    8,284/12,488.16 = 7,734.08/x
  3. Step 3: Cross multiply
    8,284x = 12,488.16 × 7,734.08
  4. Step 4: Simplify right side
    8,284x = 96,584,428.49
  5. Step 5: Solve for x
    x = 96,584,428.49/8,284
  6. Step 6: Final answer
    x = 11,659.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.