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Finding the Fourth Proportional to 21,296.58, 31,912 and 13,488.98

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Solution

The fourth proportional to 21,296.58, 31,912 and 13,488.98 is: 20,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296.58 : 31,912 = 13,488.98 : x
  2. Step 2: Convert to fraction form
    21,296.58/31,912 = 13,488.98/x
  3. Step 3: Cross multiply
    21,296.58x = 31,912 × 13,488.98
  4. Step 4: Simplify right side
    21,296.58x = 430,460,329.76
  5. Step 5: Solve for x
    x = 430,460,329.76/21,296.58
  6. Step 6: Final answer
    x = 20,212.65

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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.