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Finding the Fourth Proportional to 3,878.77, 5,818.05 and 957.10

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Solution

The fourth proportional to 3,878.77, 5,818.05 and 957.10 is: 1,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.77 : 5,818.05 = 957.10 : x
  2. Step 2: Convert to fraction form
    3,878.77/5,818.05 = 957.10/x
  3. Step 3: Cross multiply
    3,878.77x = 5,818.05 × 957.10
  4. Step 4: Simplify right side
    3,878.77x = 5,568,455.66
  5. Step 5: Solve for x
    x = 5,568,455.66/3,878.77
  6. Step 6: Final answer
    x = 1,435.62

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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.