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Finding the Fourth Proportional to 21,092.68, 31,640.02 and 9,405.96

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Solution

The fourth proportional to 21,092.68, 31,640.02 and 9,405.96 is: 14,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092.68 : 31,640.02 = 9,405.96 : x
  2. Step 2: Convert to fraction form
    21,092.68/31,640.02 = 9,405.96/x
  3. Step 3: Cross multiply
    21,092.68x = 31,640.02 × 9,405.96
  4. Step 4: Simplify right side
    21,092.68x = 297,604,762.52
  5. Step 5: Solve for x
    x = 297,604,762.52/21,092.68
  6. Step 6: Final answer
    x = 14,109.39

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1.5x scale

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.