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Finding the Fourth Proportional to 2,705.74, 4,057.80 and 1,406.50

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Solution

The fourth proportional to 2,705.74, 4,057.80 and 1,406.50 is: 2,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.74 : 4,057.80 = 1,406.50 : x
  2. Step 2: Convert to fraction form
    2,705.74/4,057.80 = 1,406.50/x
  3. Step 3: Cross multiply
    2,705.74x = 4,057.80 × 1,406.50
  4. Step 4: Simplify right side
    2,705.74x = 5,707,280.28
  5. Step 5: Solve for x
    x = 5,707,280.28/2,705.74
  6. Step 6: Final answer
    x = 2,109.33

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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.