Home / 3,169.16-4,754.27-977.84

Finding the Fourth Proportional to 3,169.16, 4,754.27 and 977.84

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Solution

The fourth proportional to 3,169.16, 4,754.27 and 977.84 is: 1,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.16 : 4,754.27 = 977.84 : x
  2. Step 2: Convert to fraction form
    3,169.16/4,754.27 = 977.84/x
  3. Step 3: Cross multiply
    3,169.16x = 4,754.27 × 977.84
  4. Step 4: Simplify right side
    3,169.16x = 4,648,915.38
  5. Step 5: Solve for x
    x = 4,648,915.38/3,169.16
  6. Step 6: Final answer
    x = 1,466.92

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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.