Home / 1,971.50-2,712.54-1,922.90

Finding the Fourth Proportional to 1,971.50, 2,712.54 and 1,922.90

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Solution

The fourth proportional to 1,971.50, 2,712.54 and 1,922.90 is: 2,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.50 : 2,712.54 = 1,922.90 : x
  2. Step 2: Convert to fraction form
    1,971.50/2,712.54 = 1,922.90/x
  3. Step 3: Cross multiply
    1,971.50x = 2,712.54 × 1,922.90
  4. Step 4: Simplify right side
    1,971.50x = 5,215,943.17
  5. Step 5: Solve for x
    x = 5,215,943.17/1,971.50
  6. Step 6: Final answer
    x = 2,645.67

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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.