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Finding the Fourth Proportional to 1,716.50, 2,369.69 and 1,342.69

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Solution

The fourth proportional to 1,716.50, 2,369.69 and 1,342.69 is: 1,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.50 : 2,369.69 = 1,342.69 : x
  2. Step 2: Convert to fraction form
    1,716.50/2,369.69 = 1,342.69/x
  3. Step 3: Cross multiply
    1,716.50x = 2,369.69 × 1,342.69
  4. Step 4: Simplify right side
    1,716.50x = 3,181,756.50
  5. Step 5: Solve for x
    x = 3,181,756.50/1,716.50
  6. Step 6: Final answer
    x = 1,853.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.