Home / 2,116.83-3,175.91-947.82

Finding the Fourth Proportional to 2,116.83, 3,175.91 and 947.82

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Solution

The fourth proportional to 2,116.83, 3,175.91 and 947.82 is: 1,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.83 : 3,175.91 = 947.82 : x
  2. Step 2: Convert to fraction form
    2,116.83/3,175.91 = 947.82/x
  3. Step 3: Cross multiply
    2,116.83x = 3,175.91 × 947.82
  4. Step 4: Simplify right side
    2,116.83x = 3,010,186.28
  5. Step 5: Solve for x
    x = 3,010,186.28/2,116.83
  6. Step 6: Final answer
    x = 1,422.03

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