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Finding the Fourth Proportional to 2,007.40, 3,015.90 and 1,796.20

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Solution

The fourth proportional to 2,007.40, 3,015.90 and 1,796.20 is: 2,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.40 : 3,015.90 = 1,796.20 : x
  2. Step 2: Convert to fraction form
    2,007.40/3,015.90 = 1,796.20/x
  3. Step 3: Cross multiply
    2,007.40x = 3,015.90 × 1,796.20
  4. Step 4: Simplify right side
    2,007.40x = 5,417,159.58
  5. Step 5: Solve for x
    x = 5,417,159.58/2,007.40
  6. Step 6: Final answer
    x = 2,698.59

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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.