Home / 1,603.80-2,212.38-974.43

Finding the Fourth Proportional to 1,603.80, 2,212.38 and 974.43

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Solution

The fourth proportional to 1,603.80, 2,212.38 and 974.43 is: 1,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.80 : 2,212.38 = 974.43 : x
  2. Step 2: Convert to fraction form
    1,603.80/2,212.38 = 974.43/x
  3. Step 3: Cross multiply
    1,603.80x = 2,212.38 × 974.43
  4. Step 4: Simplify right side
    1,603.80x = 2,155,809.44
  5. Step 5: Solve for x
    x = 2,155,809.44/1,603.80
  6. Step 6: Final answer
    x = 1,344.19

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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.