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Finding the Fourth Proportional to 1,919.43, 2,880.77 and 881.01

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Solution

The fourth proportional to 1,919.43, 2,880.77 and 881.01 is: 1,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.43 : 2,880.77 = 881.01 : x
  2. Step 2: Convert to fraction form
    1,919.43/2,880.77 = 881.01/x
  3. Step 3: Cross multiply
    1,919.43x = 2,880.77 × 881.01
  4. Step 4: Simplify right side
    1,919.43x = 2,537,982.77
  5. Step 5: Solve for x
    x = 2,537,982.77/1,919.43
  6. Step 6: Final answer
    x = 1,322.26

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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.