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Finding the Fourth Proportional to 2,705.99, 4,058.17 and 1,406.75

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Solution

The fourth proportional to 2,705.99, 4,058.17 and 1,406.75 is: 2,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.99 : 4,058.17 = 1,406.75 : x
  2. Step 2: Convert to fraction form
    2,705.99/4,058.17 = 1,406.75/x
  3. Step 3: Cross multiply
    2,705.99x = 4,058.17 × 1,406.75
  4. Step 4: Simplify right side
    2,705.99x = 5,708,830.65
  5. Step 5: Solve for x
    x = 5,708,830.65/2,705.99
  6. Step 6: Final answer
    x = 2,109.70

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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.