Home / 2,971.89-4,101.32-1,645.50

Finding the Fourth Proportional to 2,971.89, 4,101.32 and 1,645.50

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Solution

The fourth proportional to 2,971.89, 4,101.32 and 1,645.50 is: 2,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.89 : 4,101.32 = 1,645.50 : x
  2. Step 2: Convert to fraction form
    2,971.89/4,101.32 = 1,645.50/x
  3. Step 3: Cross multiply
    2,971.89x = 4,101.32 × 1,645.50
  4. Step 4: Simplify right side
    2,971.89x = 6,748,709.23
  5. Step 5: Solve for x
    x = 6,748,709.23/2,971.89
  6. Step 6: Final answer
    x = 2,270.85

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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.