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Finding the Fourth Proportional to 1,681.86, 2,323.14 and 1,369.20

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Solution

The fourth proportional to 1,681.86, 2,323.14 and 1,369.20 is: 1,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.86 : 2,323.14 = 1,369.20 : x
  2. Step 2: Convert to fraction form
    1,681.86/2,323.14 = 1,369.20/x
  3. Step 3: Cross multiply
    1,681.86x = 2,323.14 × 1,369.20
  4. Step 4: Simplify right side
    1,681.86x = 3,180,843.29
  5. Step 5: Solve for x
    x = 3,180,843.29/1,681.86
  6. Step 6: Final answer
    x = 1,891.27

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Why These Related Problems?

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