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Finding the Fourth Proportional to 2,839.18, 3,918 and 1,580.23

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Solution

The fourth proportional to 2,839.18, 3,918 and 1,580.23 is: 2,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.18 : 3,918 = 1,580.23 : x
  2. Step 2: Convert to fraction form
    2,839.18/3,918 = 1,580.23/x
  3. Step 3: Cross multiply
    2,839.18x = 3,918 × 1,580.23
  4. Step 4: Simplify right side
    2,839.18x = 6,191,341.14
  5. Step 5: Solve for x
    x = 6,191,341.14/2,839.18
  6. Step 6: Final answer
    x = 2,180.68

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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.