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Finding the Fourth Proportional to 11,870.63, 17,807.80 and 3,971.68

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Solution

The fourth proportional to 11,870.63, 17,807.80 and 3,971.68 is: 5,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.63 : 17,807.80 = 3,971.68 : x
  2. Step 2: Convert to fraction form
    11,870.63/17,807.80 = 3,971.68/x
  3. Step 3: Cross multiply
    11,870.63x = 17,807.80 × 3,971.68
  4. Step 4: Simplify right side
    11,870.63x = 70,726,936.27
  5. Step 5: Solve for x
    x = 70,726,936.27/11,870.63
  6. Step 6: Final answer
    x = 5,958.15

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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.