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Finding the Fourth Proportional to 21,255, 31,883.94 and 6,465.08

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Solution

The fourth proportional to 21,255, 31,883.94 and 6,465.08 is: 9,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,255 : 31,883.94 = 6,465.08 : x
  2. Step 2: Convert to fraction form
    21,255/31,883.94 = 6,465.08/x
  3. Step 3: Cross multiply
    21,255x = 31,883.94 × 6,465.08
  4. Step 4: Simplify right side
    21,255x = 206,132,222.82
  5. Step 5: Solve for x
    x = 206,132,222.82/21,255
  6. Step 6: Final answer
    x = 9,698.06

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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.