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Finding the Fourth Proportional to 1,810.14, 2,497.97 and 982.14

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Solution

The fourth proportional to 1,810.14, 2,497.97 and 982.14 is: 1,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.14 : 2,497.97 = 982.14 : x
  2. Step 2: Convert to fraction form
    1,810.14/2,497.97 = 982.14/x
  3. Step 3: Cross multiply
    1,810.14x = 2,497.97 × 982.14
  4. Step 4: Simplify right side
    1,810.14x = 2,453,351.35
  5. Step 5: Solve for x
    x = 2,453,351.35/1,810.14
  6. Step 6: Final answer
    x = 1,355.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.