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Finding the Fourth Proportional to 9,891.48, 13,644.54 and 6,159

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Solution

The fourth proportional to 9,891.48, 13,644.54 and 6,159 is: 8,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.48 : 13,644.54 = 6,159 : x
  2. Step 2: Convert to fraction form
    9,891.48/13,644.54 = 6,159/x
  3. Step 3: Cross multiply
    9,891.48x = 13,644.54 × 6,159
  4. Step 4: Simplify right side
    9,891.48x = 84,036,721.86
  5. Step 5: Solve for x
    x = 84,036,721.86/9,891.48
  6. Step 6: Final answer
    x = 8,495.87

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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.