Home / 1,576.41-2,174.49-986.46

Finding the Fourth Proportional to 1,576.41, 2,174.49 and 986.46

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Solution

The fourth proportional to 1,576.41, 2,174.49 and 986.46 is: 1,360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.41 : 2,174.49 = 986.46 : x
  2. Step 2: Convert to fraction form
    1,576.41/2,174.49 = 986.46/x
  3. Step 3: Cross multiply
    1,576.41x = 2,174.49 × 986.46
  4. Step 4: Simplify right side
    1,576.41x = 2,145,047.41
  5. Step 5: Solve for x
    x = 2,145,047.41/1,576.41
  6. Step 6: Final answer
    x = 1,360.72

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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.