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Finding the Fourth Proportional to 1,910.95, 2,866.11 and 612.25

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Solution

The fourth proportional to 1,910.95, 2,866.11 and 612.25 is: 918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.95 : 2,866.11 = 612.25 : x
  2. Step 2: Convert to fraction form
    1,910.95/2,866.11 = 612.25/x
  3. Step 3: Cross multiply
    1,910.95x = 2,866.11 × 612.25
  4. Step 4: Simplify right side
    1,910.95x = 1,754,775.85
  5. Step 5: Solve for x
    x = 1,754,775.85/1,910.95
  6. Step 6: Final answer
    x = 918.27

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1.5x scale

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.