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Finding the Fourth Proportional to 21,167.02, 31,731.90 and 8,009.80

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Solution

The fourth proportional to 21,167.02, 31,731.90 and 8,009.80 is: 12,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.02 : 31,731.90 = 8,009.80 : x
  2. Step 2: Convert to fraction form
    21,167.02/31,731.90 = 8,009.80/x
  3. Step 3: Cross multiply
    21,167.02x = 31,731.90 × 8,009.80
  4. Step 4: Simplify right side
    21,167.02x = 254,166,172.62
  5. Step 5: Solve for x
    x = 254,166,172.62/21,167.02
  6. Step 6: Final answer
    x = 12,007.65

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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.