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Finding the Fourth Proportional to 3,109, 4,290.42 and 1,783.14

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Solution

The fourth proportional to 3,109, 4,290.42 and 1,783.14 is: 2,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109 : 4,290.42 = 1,783.14 : x
  2. Step 2: Convert to fraction form
    3,109/4,290.42 = 1,783.14/x
  3. Step 3: Cross multiply
    3,109x = 4,290.42 × 1,783.14
  4. Step 4: Simplify right side
    3,109x = 7,650,419.52
  5. Step 5: Solve for x
    x = 7,650,419.52/3,109
  6. Step 6: Final answer
    x = 2,460.73

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1.5x scale

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.