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Finding the Fourth Proportional to 21,071.51, 31,608.48 and 7,923.99

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Solution

The fourth proportional to 21,071.51, 31,608.48 and 7,923.99 is: 11,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.51 : 31,608.48 = 7,923.99 : x
  2. Step 2: Convert to fraction form
    21,071.51/31,608.48 = 7,923.99/x
  3. Step 3: Cross multiply
    21,071.51x = 31,608.48 × 7,923.99
  4. Step 4: Simplify right side
    21,071.51x = 250,465,279.44
  5. Step 5: Solve for x
    x = 250,465,279.44/21,071.51
  6. Step 6: Final answer
    x = 11,886.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.