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Finding the Fourth Proportional to 1,725.76, 2,571.98 and 1,723.01

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Solution

The fourth proportional to 1,725.76, 2,571.98 and 1,723.01 is: 2,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.76 : 2,571.98 = 1,723.01 : x
  2. Step 2: Convert to fraction form
    1,725.76/2,571.98 = 1,723.01/x
  3. Step 3: Cross multiply
    1,725.76x = 2,571.98 × 1,723.01
  4. Step 4: Simplify right side
    1,725.76x = 4,431,561.23
  5. Step 5: Solve for x
    x = 4,431,561.23/1,725.76
  6. Step 6: Final answer
    x = 2,567.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.