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Finding the Fourth Proportional to 3,880.58, 5,821.83 and 1,283.78

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Solution

The fourth proportional to 3,880.58, 5,821.83 and 1,283.78 is: 1,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.58 : 5,821.83 = 1,283.78 : x
  2. Step 2: Convert to fraction form
    3,880.58/5,821.83 = 1,283.78/x
  3. Step 3: Cross multiply
    3,880.58x = 5,821.83 × 1,283.78
  4. Step 4: Simplify right side
    3,880.58x = 7,473,948.92
  5. Step 5: Solve for x
    x = 7,473,948.92/3,880.58
  6. Step 6: Final answer
    x = 1,925.99

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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.