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Finding the Fourth Proportional to 1,282.77, 1,920.20 and 1,095.98

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Solution

The fourth proportional to 1,282.77, 1,920.20 and 1,095.98 is: 1,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.77 : 1,920.20 = 1,095.98 : x
  2. Step 2: Convert to fraction form
    1,282.77/1,920.20 = 1,095.98/x
  3. Step 3: Cross multiply
    1,282.77x = 1,920.20 × 1,095.98
  4. Step 4: Simplify right side
    1,282.77x = 2,104,485.72
  5. Step 5: Solve for x
    x = 2,104,485.72/1,282.77
  6. Step 6: Final answer
    x = 1,640.58

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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.