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Finding the Fourth Proportional to 26,646, 39,969 and 10,009.86

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Solution

The fourth proportional to 26,646, 39,969 and 10,009.86 is: 15,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,646 : 39,969 = 10,009.86 : x
  2. Step 2: Convert to fraction form
    26,646/39,969 = 10,009.86/x
  3. Step 3: Cross multiply
    26,646x = 39,969 × 10,009.86
  4. Step 4: Simplify right side
    26,646x = 400,084,094.34
  5. Step 5: Solve for x
    x = 400,084,094.34/26,646
  6. Step 6: Final answer
    x = 15,014.79

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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.