Home / 5,849-8,774.46-1,954.34

Finding the Fourth Proportional to 5,849, 8,774.46 and 1,954.34

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Solution

The fourth proportional to 5,849, 8,774.46 and 1,954.34 is: 2,931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849 : 8,774.46 = 1,954.34 : x
  2. Step 2: Convert to fraction form
    5,849/8,774.46 = 1,954.34/x
  3. Step 3: Cross multiply
    5,849x = 8,774.46 × 1,954.34
  4. Step 4: Simplify right side
    5,849x = 17,148,278.16
  5. Step 5: Solve for x
    x = 17,148,278.16/5,849
  6. Step 6: Final answer
    x = 2,931.83

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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.