Home / 1,598.36-2,206.38-969.56

Finding the Fourth Proportional to 1,598.36, 2,206.38 and 969.56

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Solution

The fourth proportional to 1,598.36, 2,206.38 and 969.56 is: 1,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.36 : 2,206.38 = 969.56 : x
  2. Step 2: Convert to fraction form
    1,598.36/2,206.38 = 969.56/x
  3. Step 3: Cross multiply
    1,598.36x = 2,206.38 × 969.56
  4. Step 4: Simplify right side
    1,598.36x = 2,139,217.79
  5. Step 5: Solve for x
    x = 2,139,217.79/1,598.36
  6. Step 6: Final answer
    x = 1,338.38

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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.