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Finding the Fourth Proportional to 2,706.98, 4,062.42 and 1,782.20

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Solution

The fourth proportional to 2,706.98, 4,062.42 and 1,782.20 is: 2,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.98 : 4,062.42 = 1,782.20 : x
  2. Step 2: Convert to fraction form
    2,706.98/4,062.42 = 1,782.20/x
  3. Step 3: Cross multiply
    2,706.98x = 4,062.42 × 1,782.20
  4. Step 4: Simplify right side
    2,706.98x = 7,240,044.92
  5. Step 5: Solve for x
    x = 7,240,044.92/2,706.98
  6. Step 6: Final answer
    x = 2,674.58

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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.