Home / 2,971.64-4,100.50-1,645.27

Finding the Fourth Proportional to 2,971.64, 4,100.50 and 1,645.27

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Solution

The fourth proportional to 2,971.64, 4,100.50 and 1,645.27 is: 2,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.64 : 4,100.50 = 1,645.27 : x
  2. Step 2: Convert to fraction form
    2,971.64/4,100.50 = 1,645.27/x
  3. Step 3: Cross multiply
    2,971.64x = 4,100.50 × 1,645.27
  4. Step 4: Simplify right side
    2,971.64x = 6,746,429.64
  5. Step 5: Solve for x
    x = 6,746,429.64/2,971.64
  6. Step 6: Final answer
    x = 2,270.27

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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.