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Finding the Fourth Proportional to 21,066, 31,600.83 and 5,483.64

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Solution

The fourth proportional to 21,066, 31,600.83 and 5,483.64 is: 8,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066 : 31,600.83 = 5,483.64 : x
  2. Step 2: Convert to fraction form
    21,066/31,600.83 = 5,483.64/x
  3. Step 3: Cross multiply
    21,066x = 31,600.83 × 5,483.64
  4. Step 4: Simplify right side
    21,066x = 173,287,575.42
  5. Step 5: Solve for x
    x = 173,287,575.42/21,066
  6. Step 6: Final answer
    x = 8,225.94

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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.