Home / 1,535.94-2,119.65-946.14

Finding the Fourth Proportional to 1,535.94, 2,119.65 and 946.14

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Solution

The fourth proportional to 1,535.94, 2,119.65 and 946.14 is: 1,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.94 : 2,119.65 = 946.14 : x
  2. Step 2: Convert to fraction form
    1,535.94/2,119.65 = 946.14/x
  3. Step 3: Cross multiply
    1,535.94x = 2,119.65 × 946.14
  4. Step 4: Simplify right side
    1,535.94x = 2,005,485.65
  5. Step 5: Solve for x
    x = 2,005,485.65/1,535.94
  6. Step 6: Final answer
    x = 1,305.71

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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.