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Finding the Fourth Proportional to 9,654.89, 13,326 and 6,291.86

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Solution

The fourth proportional to 9,654.89, 13,326 and 6,291.86 is: 8,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.89 : 13,326 = 6,291.86 : x
  2. Step 2: Convert to fraction form
    9,654.89/13,326 = 6,291.86/x
  3. Step 3: Cross multiply
    9,654.89x = 13,326 × 6,291.86
  4. Step 4: Simplify right side
    9,654.89x = 83,845,326.36
  5. Step 5: Solve for x
    x = 83,845,326.36/9,654.89
  6. Step 6: Final answer
    x = 8,684.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.