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Finding the Fourth Proportional to 25,999.57, 38,967 and 12,661.66

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Solution

The fourth proportional to 25,999.57, 38,967 and 12,661.66 is: 18,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,999.57 : 38,967 = 12,661.66 : x
  2. Step 2: Convert to fraction form
    25,999.57/38,967 = 12,661.66/x
  3. Step 3: Cross multiply
    25,999.57x = 38,967 × 12,661.66
  4. Step 4: Simplify right side
    25,999.57x = 493,386,905.22
  5. Step 5: Solve for x
    x = 493,386,905.22/25,999.57
  6. Step 6: Final answer
    x = 18,976.73

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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.