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Finding the Fourth Proportional to 1,095.84, 1,634.40 and 1,078.92

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Solution

The fourth proportional to 1,095.84, 1,634.40 and 1,078.92 is: 1,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.84 : 1,634.40 = 1,078.92 : x
  2. Step 2: Convert to fraction form
    1,095.84/1,634.40 = 1,078.92/x
  3. Step 3: Cross multiply
    1,095.84x = 1,634.40 × 1,078.92
  4. Step 4: Simplify right side
    1,095.84x = 1,763,386.85
  5. Step 5: Solve for x
    x = 1,763,386.85/1,095.84
  6. Step 6: Final answer
    x = 1,609.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.