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Finding the Fourth Proportional to 2,170.56, 3,252.56 and 1,620.08

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Solution

The fourth proportional to 2,170.56, 3,252.56 and 1,620.08 is: 2,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.56 : 3,252.56 = 1,620.08 : x
  2. Step 2: Convert to fraction form
    2,170.56/3,252.56 = 1,620.08/x
  3. Step 3: Cross multiply
    2,170.56x = 3,252.56 × 1,620.08
  4. Step 4: Simplify right side
    2,170.56x = 5,269,407.40
  5. Step 5: Solve for x
    x = 5,269,407.40/2,170.56
  6. Step 6: Final answer
    x = 2,427.67

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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.