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Finding the Fourth Proportional to 1,393.93, 2,091.71 and 1,283.77

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Solution

The fourth proportional to 1,393.93, 2,091.71 and 1,283.77 is: 1,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.93 : 2,091.71 = 1,283.77 : x
  2. Step 2: Convert to fraction form
    1,393.93/2,091.71 = 1,283.77/x
  3. Step 3: Cross multiply
    1,393.93x = 2,091.71 × 1,283.77
  4. Step 4: Simplify right side
    1,393.93x = 2,685,274.55
  5. Step 5: Solve for x
    x = 2,685,274.55/1,393.93
  6. Step 6: Final answer
    x = 1,926.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.