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Finding the Fourth Proportional to 3,880.08, 5,821.08 and 1,283.28

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Solution

The fourth proportional to 3,880.08, 5,821.08 and 1,283.28 is: 1,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.08 : 5,821.08 = 1,283.28 : x
  2. Step 2: Convert to fraction form
    3,880.08/5,821.08 = 1,283.28/x
  3. Step 3: Cross multiply
    3,880.08x = 5,821.08 × 1,283.28
  4. Step 4: Simplify right side
    3,880.08x = 7,470,075.54
  5. Step 5: Solve for x
    x = 7,470,075.54/3,880.08
  6. Step 6: Final answer
    x = 1,925.24

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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.