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Finding the Fourth Proportional to 1,809.60, 2,724.24 and 1,648.32

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Solution

The fourth proportional to 1,809.60, 2,724.24 and 1,648.32 is: 2,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.60 : 2,724.24 = 1,648.32 : x
  2. Step 2: Convert to fraction form
    1,809.60/2,724.24 = 1,648.32/x
  3. Step 3: Cross multiply
    1,809.60x = 2,724.24 × 1,648.32
  4. Step 4: Simplify right side
    1,809.60x = 4,490,419.28
  5. Step 5: Solve for x
    x = 4,490,419.28/1,809.60
  6. Step 6: Final answer
    x = 2,481.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.