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Finding the Fourth Proportional to 6,484.73, 9,725.73 and 2,788.70

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Solution

The fourth proportional to 6,484.73, 9,725.73 and 2,788.70 is: 4,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.73 : 9,725.73 = 2,788.70 : x
  2. Step 2: Convert to fraction form
    6,484.73/9,725.73 = 2,788.70/x
  3. Step 3: Cross multiply
    6,484.73x = 9,725.73 × 2,788.70
  4. Step 4: Simplify right side
    6,484.73x = 27,122,143.25
  5. Step 5: Solve for x
    x = 27,122,143.25/6,484.73
  6. Step 6: Final answer
    x = 4,182.46

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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.