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Finding the Fourth Proportional to 21,308.75, 31,957 and 6,514.19

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Solution

The fourth proportional to 21,308.75, 31,957 and 6,514.19 is: 9,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.75 : 31,957 = 6,514.19 : x
  2. Step 2: Convert to fraction form
    21,308.75/31,957 = 6,514.19/x
  3. Step 3: Cross multiply
    21,308.75x = 31,957 × 6,514.19
  4. Step 4: Simplify right side
    21,308.75x = 208,173,969.83
  5. Step 5: Solve for x
    x = 208,173,969.83/21,308.75
  6. Step 6: Final answer
    x = 9,769.41

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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.