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Finding the Fourth Proportional to 1,415.74, 1,954.14 and 826.54

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Solution

The fourth proportional to 1,415.74, 1,954.14 and 826.54 is: 1,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.74 : 1,954.14 = 826.54 : x
  2. Step 2: Convert to fraction form
    1,415.74/1,954.14 = 826.54/x
  3. Step 3: Cross multiply
    1,415.74x = 1,954.14 × 826.54
  4. Step 4: Simplify right side
    1,415.74x = 1,615,174.88
  5. Step 5: Solve for x
    x = 1,615,174.88/1,415.74
  6. Step 6: Final answer
    x = 1,140.87

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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.