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Finding the Fourth Proportional to 12,009.74, 18,010.01 and 5,768.01

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Solution

The fourth proportional to 12,009.74, 18,010.01 and 5,768.01 is: 8,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.74 : 18,010.01 = 5,768.01 : x
  2. Step 2: Convert to fraction form
    12,009.74/18,010.01 = 5,768.01/x
  3. Step 3: Cross multiply
    12,009.74x = 18,010.01 × 5,768.01
  4. Step 4: Simplify right side
    12,009.74x = 103,881,932.20
  5. Step 5: Solve for x
    x = 103,881,932.20/12,009.74
  6. Step 6: Final answer
    x = 8,649.81

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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.