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Finding the Fourth Proportional to 2,650.34, 3,975.62 and 895.38

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Solution

The fourth proportional to 2,650.34, 3,975.62 and 895.38 is: 1,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.34 : 3,975.62 = 895.38 : x
  2. Step 2: Convert to fraction form
    2,650.34/3,975.62 = 895.38/x
  3. Step 3: Cross multiply
    2,650.34x = 3,975.62 × 895.38
  4. Step 4: Simplify right side
    2,650.34x = 3,559,671.25
  5. Step 5: Solve for x
    x = 3,559,671.25/2,650.34
  6. Step 6: Final answer
    x = 1,343.10

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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.