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Finding the Fourth Proportional to 1,722, 2,389.08 and 1,705.80

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Solution

The fourth proportional to 1,722, 2,389.08 and 1,705.80 is: 2,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722 : 2,389.08 = 1,705.80 : x
  2. Step 2: Convert to fraction form
    1,722/2,389.08 = 1,705.80/x
  3. Step 3: Cross multiply
    1,722x = 2,389.08 × 1,705.80
  4. Step 4: Simplify right side
    1,722x = 4,075,292.66
  5. Step 5: Solve for x
    x = 4,075,292.66/1,722
  6. Step 6: Final answer
    x = 2,366.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.