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Finding the Fourth Proportional to 2,672.75, 3,688.36 and 1,477.75

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Solution

The fourth proportional to 2,672.75, 3,688.36 and 1,477.75 is: 2,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.75 : 3,688.36 = 1,477.75 : x
  2. Step 2: Convert to fraction form
    2,672.75/3,688.36 = 1,477.75/x
  3. Step 3: Cross multiply
    2,672.75x = 3,688.36 × 1,477.75
  4. Step 4: Simplify right side
    2,672.75x = 5,450,473.99
  5. Step 5: Solve for x
    x = 5,450,473.99/2,672.75
  6. Step 6: Final answer
    x = 2,039.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.