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Finding the Fourth Proportional to 11,868.86, 17,802.01 and 3,970.48

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Solution

The fourth proportional to 11,868.86, 17,802.01 and 3,970.48 is: 5,955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.86 : 17,802.01 = 3,970.48 : x
  2. Step 2: Convert to fraction form
    11,868.86/17,802.01 = 3,970.48/x
  3. Step 3: Cross multiply
    11,868.86x = 17,802.01 × 3,970.48
  4. Step 4: Simplify right side
    11,868.86x = 70,682,524.66
  5. Step 5: Solve for x
    x = 70,682,524.66/11,868.86
  6. Step 6: Final answer
    x = 5,955.29

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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.