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Finding the Fourth Proportional to 2,651.23, 3,975.81 and 895.76

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Solution

The fourth proportional to 2,651.23, 3,975.81 and 895.76 is: 1,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.23 : 3,975.81 = 895.76 : x
  2. Step 2: Convert to fraction form
    2,651.23/3,975.81 = 895.76/x
  3. Step 3: Cross multiply
    2,651.23x = 3,975.81 × 895.76
  4. Step 4: Simplify right side
    2,651.23x = 3,561,368.28
  5. Step 5: Solve for x
    x = 3,561,368.28/2,651.23
  6. Step 6: Final answer
    x = 1,343.29

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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.