Home / 2,971.34-4,100-1,645.10

Finding the Fourth Proportional to 2,971.34, 4,100 and 1,645.10

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Solution

The fourth proportional to 2,971.34, 4,100 and 1,645.10 is: 2,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.34 : 4,100 = 1,645.10 : x
  2. Step 2: Convert to fraction form
    2,971.34/4,100 = 1,645.10/x
  3. Step 3: Cross multiply
    2,971.34x = 4,100 × 1,645.10
  4. Step 4: Simplify right side
    2,971.34x = 6,744,910
  5. Step 5: Solve for x
    x = 6,744,910/2,971.34
  6. Step 6: Final answer
    x = 2,269.99

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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.