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Finding the Fourth Proportional to 2,653.20, 3,662.28 and 1,867.44

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Solution

The fourth proportional to 2,653.20, 3,662.28 and 1,867.44 is: 2,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.20 : 3,662.28 = 1,867.44 : x
  2. Step 2: Convert to fraction form
    2,653.20/3,662.28 = 1,867.44/x
  3. Step 3: Cross multiply
    2,653.20x = 3,662.28 × 1,867.44
  4. Step 4: Simplify right side
    2,653.20x = 6,839,088.16
  5. Step 5: Solve for x
    x = 6,839,088.16/2,653.20
  6. Step 6: Final answer
    x = 2,577.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.