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Finding the Fourth Proportional to 1,921.80, 2,880.63 and 825.60

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Solution

The fourth proportional to 1,921.80, 2,880.63 and 825.60 is: 1,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.80 : 2,880.63 = 825.60 : x
  2. Step 2: Convert to fraction form
    1,921.80/2,880.63 = 825.60/x
  3. Step 3: Cross multiply
    1,921.80x = 2,880.63 × 825.60
  4. Step 4: Simplify right side
    1,921.80x = 2,378,248.13
  5. Step 5: Solve for x
    x = 2,378,248.13/1,921.80
  6. Step 6: Final answer
    x = 1,237.51

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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.