Home / 1,576.43-2,175.23-946.82

Finding the Fourth Proportional to 1,576.43, 2,175.23 and 946.82

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Solution

The fourth proportional to 1,576.43, 2,175.23 and 946.82 is: 1,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.43 : 2,175.23 = 946.82 : x
  2. Step 2: Convert to fraction form
    1,576.43/2,175.23 = 946.82/x
  3. Step 3: Cross multiply
    1,576.43x = 2,175.23 × 946.82
  4. Step 4: Simplify right side
    1,576.43x = 2,059,535.66
  5. Step 5: Solve for x
    x = 2,059,535.66/1,576.43
  6. Step 6: Final answer
    x = 1,306.46

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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.