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Finding the Fourth Proportional to 2,756.16, 3,803.76 and 1,960.92

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Solution

The fourth proportional to 2,756.16, 3,803.76 and 1,960.92 is: 2,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.16 : 3,803.76 = 1,960.92 : x
  2. Step 2: Convert to fraction form
    2,756.16/3,803.76 = 1,960.92/x
  3. Step 3: Cross multiply
    2,756.16x = 3,803.76 × 1,960.92
  4. Step 4: Simplify right side
    2,756.16x = 7,458,869.06
  5. Step 5: Solve for x
    x = 7,458,869.06/2,756.16
  6. Step 6: Final answer
    x = 2,706.25

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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.