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Finding the Fourth Proportional to 21,259, 31,893.06 and 6,469.12

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Solution

The fourth proportional to 21,259, 31,893.06 and 6,469.12 is: 9,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259 : 31,893.06 = 6,469.12 : x
  2. Step 2: Convert to fraction form
    21,259/31,893.06 = 6,469.12/x
  3. Step 3: Cross multiply
    21,259x = 31,893.06 × 6,469.12
  4. Step 4: Simplify right side
    21,259x = 206,320,032.31
  5. Step 5: Solve for x
    x = 206,320,032.31/21,259
  6. Step 6: Final answer
    x = 9,705.07

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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.