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Finding the Fourth Proportional to 21,033, 31,554.05 and 6,242.94

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Solution

The fourth proportional to 21,033, 31,554.05 and 6,242.94 is: 9,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033 : 31,554.05 = 6,242.94 : x
  2. Step 2: Convert to fraction form
    21,033/31,554.05 = 6,242.94/x
  3. Step 3: Cross multiply
    21,033x = 31,554.05 × 6,242.94
  4. Step 4: Simplify right side
    21,033x = 196,990,009.69
  5. Step 5: Solve for x
    x = 196,990,009.69/21,033
  6. Step 6: Final answer
    x = 9,365.76

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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.