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Finding the Fourth Proportional to 15,102.25, 20,840.98 and 8,296.38

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Solution

The fourth proportional to 15,102.25, 20,840.98 and 8,296.38 is: 11,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.25 : 20,840.98 = 8,296.38 : x
  2. Step 2: Convert to fraction form
    15,102.25/20,840.98 = 8,296.38/x
  3. Step 3: Cross multiply
    15,102.25x = 20,840.98 × 8,296.38
  4. Step 4: Simplify right side
    15,102.25x = 172,904,689.65
  5. Step 5: Solve for x
    x = 172,904,689.65/15,102.25
  6. Step 6: Final answer
    x = 11,448.94

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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.