Home / 2,971.52-4,100.66-1,645.20

Finding the Fourth Proportional to 2,971.52, 4,100.66 and 1,645.20

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Solution

The fourth proportional to 2,971.52, 4,100.66 and 1,645.20 is: 2,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.52 : 4,100.66 = 1,645.20 : x
  2. Step 2: Convert to fraction form
    2,971.52/4,100.66 = 1,645.20/x
  3. Step 3: Cross multiply
    2,971.52x = 4,100.66 × 1,645.20
  4. Step 4: Simplify right side
    2,971.52x = 6,746,405.83
  5. Step 5: Solve for x
    x = 6,746,405.83/2,971.52
  6. Step 6: Final answer
    x = 2,270.36

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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.