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Finding the Fourth Proportional to 1,392.80, 1,926.38 and 1,295.60

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Solution

The fourth proportional to 1,392.80, 1,926.38 and 1,295.60 is: 1,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.80 : 1,926.38 = 1,295.60 : x
  2. Step 2: Convert to fraction form
    1,392.80/1,926.38 = 1,295.60/x
  3. Step 3: Cross multiply
    1,392.80x = 1,926.38 × 1,295.60
  4. Step 4: Simplify right side
    1,392.80x = 2,495,811.54
  5. Step 5: Solve for x
    x = 2,495,811.54/1,392.80
  6. Step 6: Final answer
    x = 1,791.94

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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.