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Finding the Fourth Proportional to 7,745.73, 10,689.05 and 4,208.87

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Solution

The fourth proportional to 7,745.73, 10,689.05 and 4,208.87 is: 5,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.73 : 10,689.05 = 4,208.87 : x
  2. Step 2: Convert to fraction form
    7,745.73/10,689.05 = 4,208.87/x
  3. Step 3: Cross multiply
    7,745.73x = 10,689.05 × 4,208.87
  4. Step 4: Simplify right side
    7,745.73x = 44,988,747.38
  5. Step 5: Solve for x
    x = 44,988,747.38/7,745.73
  6. Step 6: Final answer
    x = 5,808.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.