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Finding the Fourth Proportional to 21,200.71, 31,801.74 and 10,664.98

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Solution

The fourth proportional to 21,200.71, 31,801.74 and 10,664.98 is: 15,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.71 : 31,801.74 = 10,664.98 : x
  2. Step 2: Convert to fraction form
    21,200.71/31,801.74 = 10,664.98/x
  3. Step 3: Cross multiply
    21,200.71x = 31,801.74 × 10,664.98
  4. Step 4: Simplify right side
    21,200.71x = 339,164,921.07
  5. Step 5: Solve for x
    x = 339,164,921.07/21,200.71
  6. Step 6: Final answer
    x = 15,997.81

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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.