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Finding the Fourth Proportional to 8,702.23, 11,999.99 and 5,164.76

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Solution

The fourth proportional to 8,702.23, 11,999.99 and 5,164.76 is: 7,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.23 : 11,999.99 = 5,164.76 : x
  2. Step 2: Convert to fraction form
    8,702.23/11,999.99 = 5,164.76/x
  3. Step 3: Cross multiply
    8,702.23x = 11,999.99 × 5,164.76
  4. Step 4: Simplify right side
    8,702.23x = 61,977,021.26
  5. Step 5: Solve for x
    x = 61,977,021.26/8,702.23
  6. Step 6: Final answer
    x = 7,121.97

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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.