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Finding the Fourth Proportional to 1,385.63, 1,911.56 and 825.82

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Solution

The fourth proportional to 1,385.63, 1,911.56 and 825.82 is: 1,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.63 : 1,911.56 = 825.82 : x
  2. Step 2: Convert to fraction form
    1,385.63/1,911.56 = 825.82/x
  3. Step 3: Cross multiply
    1,385.63x = 1,911.56 × 825.82
  4. Step 4: Simplify right side
    1,385.63x = 1,578,604.48
  5. Step 5: Solve for x
    x = 1,578,604.48/1,385.63
  6. Step 6: Final answer
    x = 1,139.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.