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Finding the Fourth Proportional to 3,096.21, 4,643.39 and 874.89

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Solution

The fourth proportional to 3,096.21, 4,643.39 and 874.89 is: 1,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.21 : 4,643.39 = 874.89 : x
  2. Step 2: Convert to fraction form
    3,096.21/4,643.39 = 874.89/x
  3. Step 3: Cross multiply
    3,096.21x = 4,643.39 × 874.89
  4. Step 4: Simplify right side
    3,096.21x = 4,062,451.10
  5. Step 5: Solve for x
    x = 4,062,451.10/3,096.21
  6. Step 6: Final answer
    x = 1,312.07

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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.