Home / 2,971.06-4,099.77-1,711.78

Finding the Fourth Proportional to 2,971.06, 4,099.77 and 1,711.78

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Solution

The fourth proportional to 2,971.06, 4,099.77 and 1,711.78 is: 2,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.06 : 4,099.77 = 1,711.78 : x
  2. Step 2: Convert to fraction form
    2,971.06/4,099.77 = 1,711.78/x
  3. Step 3: Cross multiply
    2,971.06x = 4,099.77 × 1,711.78
  4. Step 4: Simplify right side
    2,971.06x = 7,017,904.29
  5. Step 5: Solve for x
    x = 7,017,904.29/2,971.06
  6. Step 6: Final answer
    x = 2,362.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.