Home / 3,114.26-4,670.69-922.76

Finding the Fourth Proportional to 3,114.26, 4,670.69 and 922.76

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Solution

The fourth proportional to 3,114.26, 4,670.69 and 922.76 is: 1,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.26 : 4,670.69 = 922.76 : x
  2. Step 2: Convert to fraction form
    3,114.26/4,670.69 = 922.76/x
  3. Step 3: Cross multiply
    3,114.26x = 4,670.69 × 922.76
  4. Step 4: Simplify right side
    3,114.26x = 4,309,925.90
  5. Step 5: Solve for x
    x = 4,309,925.90/3,114.26
  6. Step 6: Final answer
    x = 1,383.93

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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.