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Finding the Fourth Proportional to 3,980.81, 5,971.86 and 1,207.15

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Solution

The fourth proportional to 3,980.81, 5,971.86 and 1,207.15 is: 1,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.81 : 5,971.86 = 1,207.15 : x
  2. Step 2: Convert to fraction form
    3,980.81/5,971.86 = 1,207.15/x
  3. Step 3: Cross multiply
    3,980.81x = 5,971.86 × 1,207.15
  4. Step 4: Simplify right side
    3,980.81x = 7,208,915.87
  5. Step 5: Solve for x
    x = 7,208,915.87/3,980.81
  6. Step 6: Final answer
    x = 1,810.92

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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.