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Finding the Fourth Proportional to 2,495.63, 3,440.80 and 1,644.75

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Solution

The fourth proportional to 2,495.63, 3,440.80 and 1,644.75 is: 2,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.63 : 3,440.80 = 1,644.75 : x
  2. Step 2: Convert to fraction form
    2,495.63/3,440.80 = 1,644.75/x
  3. Step 3: Cross multiply
    2,495.63x = 3,440.80 × 1,644.75
  4. Step 4: Simplify right side
    2,495.63x = 5,659,260.06
  5. Step 5: Solve for x
    x = 5,659,260.06/2,495.63
  6. Step 6: Final answer
    x = 2,267.67

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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.