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Finding the Fourth Proportional to 27,305, 40,957.47 and 8,586.39

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Solution

The fourth proportional to 27,305, 40,957.47 and 8,586.39 is: 12,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,305 : 40,957.47 = 8,586.39 : x
  2. Step 2: Convert to fraction form
    27,305/40,957.47 = 8,586.39/x
  3. Step 3: Cross multiply
    27,305x = 40,957.47 × 8,586.39
  4. Step 4: Simplify right side
    27,305x = 351,676,810.83
  5. Step 5: Solve for x
    x = 351,676,810.83/27,305
  6. Step 6: Final answer
    x = 12,879.58

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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.