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Finding the Fourth Proportional to 1,364, 1,886.48 and 1,216.38

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Solution

The fourth proportional to 1,364, 1,886.48 and 1,216.38 is: 1,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364 : 1,886.48 = 1,216.38 : x
  2. Step 2: Convert to fraction form
    1,364/1,886.48 = 1,216.38/x
  3. Step 3: Cross multiply
    1,364x = 1,886.48 × 1,216.38
  4. Step 4: Simplify right side
    1,364x = 2,294,676.54
  5. Step 5: Solve for x
    x = 2,294,676.54/1,364
  6. Step 6: Final answer
    x = 1,682.31

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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.