Home / 2,837.76-3,914.34-1,658

Finding the Fourth Proportional to 2,837.76, 3,914.34 and 1,658

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Solution

The fourth proportional to 2,837.76, 3,914.34 and 1,658 is: 2,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.76 : 3,914.34 = 1,658 : x
  2. Step 2: Convert to fraction form
    2,837.76/3,914.34 = 1,658/x
  3. Step 3: Cross multiply
    2,837.76x = 3,914.34 × 1,658
  4. Step 4: Simplify right side
    2,837.76x = 6,489,975.72
  5. Step 5: Solve for x
    x = 6,489,975.72/2,837.76
  6. Step 6: Final answer
    x = 2,287.01

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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.