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Finding the Fourth Proportional to 2,709.80, 4,058.30 and 1,839.40

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Solution

The fourth proportional to 2,709.80, 4,058.30 and 1,839.40 is: 2,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.80 : 4,058.30 = 1,839.40 : x
  2. Step 2: Convert to fraction form
    2,709.80/4,058.30 = 1,839.40/x
  3. Step 3: Cross multiply
    2,709.80x = 4,058.30 × 1,839.40
  4. Step 4: Simplify right side
    2,709.80x = 7,464,837.02
  5. Step 5: Solve for x
    x = 7,464,837.02/2,709.80
  6. Step 6: Final answer
    x = 2,754.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.