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Finding the Fourth Proportional to 1,907.43, 2,860.12 and 982.61

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Solution

The fourth proportional to 1,907.43, 2,860.12 and 982.61 is: 1,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.43 : 2,860.12 = 982.61 : x
  2. Step 2: Convert to fraction form
    1,907.43/2,860.12 = 982.61/x
  3. Step 3: Cross multiply
    1,907.43x = 2,860.12 × 982.61
  4. Step 4: Simplify right side
    1,907.43x = 2,810,368.21
  5. Step 5: Solve for x
    x = 2,810,368.21/1,907.43
  6. Step 6: Final answer
    x = 1,473.38

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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.