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Finding the Fourth Proportional to 1,907.25, 2,849.31 and 1,208.32

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Solution

The fourth proportional to 1,907.25, 2,849.31 and 1,208.32 is: 1,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.25 : 2,849.31 = 1,208.32 : x
  2. Step 2: Convert to fraction form
    1,907.25/2,849.31 = 1,208.32/x
  3. Step 3: Cross multiply
    1,907.25x = 2,849.31 × 1,208.32
  4. Step 4: Simplify right side
    1,907.25x = 3,442,875.24
  5. Step 5: Solve for x
    x = 3,442,875.24/1,907.25
  6. Step 6: Final answer
    x = 1,805.16

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Half scale
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1.5x scale

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.