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Finding the Fourth Proportional to 1,371.36, 1,893.36 and 1,223.74

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Solution

The fourth proportional to 1,371.36, 1,893.36 and 1,223.74 is: 1,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.36 : 1,893.36 = 1,223.74 : x
  2. Step 2: Convert to fraction form
    1,371.36/1,893.36 = 1,223.74/x
  3. Step 3: Cross multiply
    1,371.36x = 1,893.36 × 1,223.74
  4. Step 4: Simplify right side
    1,371.36x = 2,316,980.37
  5. Step 5: Solve for x
    x = 2,316,980.37/1,371.36
  6. Step 6: Final answer
    x = 1,689.55

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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.