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Finding the Fourth Proportional to 2,007.64, 3,015.10 and 1,643.14

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Solution

The fourth proportional to 2,007.64, 3,015.10 and 1,643.14 is: 2,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.64 : 3,015.10 = 1,643.14 : x
  2. Step 2: Convert to fraction form
    2,007.64/3,015.10 = 1,643.14/x
  3. Step 3: Cross multiply
    2,007.64x = 3,015.10 × 1,643.14
  4. Step 4: Simplify right side
    2,007.64x = 4,954,231.41
  5. Step 5: Solve for x
    x = 4,954,231.41/2,007.64
  6. Step 6: Final answer
    x = 2,467.69

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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.