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Finding the Fourth Proportional to 1,823.82, 2,735.73 and 669.57

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Solution

The fourth proportional to 1,823.82, 2,735.73 and 669.57 is: 1,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.82 : 2,735.73 = 669.57 : x
  2. Step 2: Convert to fraction form
    1,823.82/2,735.73 = 669.57/x
  3. Step 3: Cross multiply
    1,823.82x = 2,735.73 × 669.57
  4. Step 4: Simplify right side
    1,823.82x = 1,831,762.74
  5. Step 5: Solve for x
    x = 1,831,762.74/1,823.82
  6. Step 6: Final answer
    x = 1,004.36

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1.5x scale

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.