Home / 1,645.79-2,270.12-982.13

Finding the Fourth Proportional to 1,645.79, 2,270.12 and 982.13

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Solution

The fourth proportional to 1,645.79, 2,270.12 and 982.13 is: 1,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.79 : 2,270.12 = 982.13 : x
  2. Step 2: Convert to fraction form
    1,645.79/2,270.12 = 982.13/x
  3. Step 3: Cross multiply
    1,645.79x = 2,270.12 × 982.13
  4. Step 4: Simplify right side
    1,645.79x = 2,229,544.06
  5. Step 5: Solve for x
    x = 2,229,544.06/1,645.79
  6. Step 6: Final answer
    x = 1,354.70

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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.