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Finding the Fourth Proportional to 8,480.25, 11,702.75 and 4,703.29

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Solution

The fourth proportional to 8,480.25, 11,702.75 and 4,703.29 is: 6,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.25 : 11,702.75 = 4,703.29 : x
  2. Step 2: Convert to fraction form
    8,480.25/11,702.75 = 4,703.29/x
  3. Step 3: Cross multiply
    8,480.25x = 11,702.75 × 4,703.29
  4. Step 4: Simplify right side
    8,480.25x = 55,041,446.87
  5. Step 5: Solve for x
    x = 55,041,446.87/8,480.25
  6. Step 6: Final answer
    x = 6,490.54

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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.