Home / 2,043.12-3,062.64-946.80

Finding the Fourth Proportional to 2,043.12, 3,062.64 and 946.80

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Solution

The fourth proportional to 2,043.12, 3,062.64 and 946.80 is: 1,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.12 : 3,062.64 = 946.80 : x
  2. Step 2: Convert to fraction form
    2,043.12/3,062.64 = 946.80/x
  3. Step 3: Cross multiply
    2,043.12x = 3,062.64 × 946.80
  4. Step 4: Simplify right side
    2,043.12x = 2,899,707.55
  5. Step 5: Solve for x
    x = 2,899,707.55/2,043.12
  6. Step 6: Final answer
    x = 1,419.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.