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Finding the Fourth Proportional to 1,910.69, 2,866.04 and 612.26

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Solution

The fourth proportional to 1,910.69, 2,866.04 and 612.26 is: 918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.69 : 2,866.04 = 612.26 : x
  2. Step 2: Convert to fraction form
    1,910.69/2,866.04 = 612.26/x
  3. Step 3: Cross multiply
    1,910.69x = 2,866.04 × 612.26
  4. Step 4: Simplify right side
    1,910.69x = 1,754,744.26
  5. Step 5: Solve for x
    x = 1,754,744.26/1,910.69
  6. Step 6: Final answer
    x = 918.38

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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.