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Finding the Fourth Proportional to 21,064.98, 31,600.70 and 7,918.26

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Solution

The fourth proportional to 21,064.98, 31,600.70 and 7,918.26 is: 11,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.98 : 31,600.70 = 7,918.26 : x
  2. Step 2: Convert to fraction form
    21,064.98/31,600.70 = 7,918.26/x
  3. Step 3: Cross multiply
    21,064.98x = 31,600.70 × 7,918.26
  4. Step 4: Simplify right side
    21,064.98x = 250,222,558.78
  5. Step 5: Solve for x
    x = 250,222,558.78/21,064.98
  6. Step 6: Final answer
    x = 11,878.60

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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.