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Finding the Fourth Proportional to 6,308.78, 8,706.47 and 3,583.40

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Solution

The fourth proportional to 6,308.78, 8,706.47 and 3,583.40 is: 4,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.78 : 8,706.47 = 3,583.40 : x
  2. Step 2: Convert to fraction form
    6,308.78/8,706.47 = 3,583.40/x
  3. Step 3: Cross multiply
    6,308.78x = 8,706.47 × 3,583.40
  4. Step 4: Simplify right side
    6,308.78x = 31,198,703.15
  5. Step 5: Solve for x
    x = 31,198,703.15/6,308.78
  6. Step 6: Final answer
    x = 4,945.29

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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.