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Finding the Fourth Proportional to 2,736.63, 3,776.36 and 2,148.57

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Solution

The fourth proportional to 2,736.63, 3,776.36 and 2,148.57 is: 2,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.63 : 3,776.36 = 2,148.57 : x
  2. Step 2: Convert to fraction form
    2,736.63/3,776.36 = 2,148.57/x
  3. Step 3: Cross multiply
    2,736.63x = 3,776.36 × 2,148.57
  4. Step 4: Simplify right side
    2,736.63x = 8,113,763.06
  5. Step 5: Solve for x
    x = 8,113,763.06/2,736.63
  6. Step 6: Final answer
    x = 2,964.87

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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.