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Finding the Fourth Proportional to 1,859.04, 2,786.12 and 1,393.14

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Solution

The fourth proportional to 1,859.04, 2,786.12 and 1,393.14 is: 2,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.04 : 2,786.12 = 1,393.14 : x
  2. Step 2: Convert to fraction form
    1,859.04/2,786.12 = 1,393.14/x
  3. Step 3: Cross multiply
    1,859.04x = 2,786.12 × 1,393.14
  4. Step 4: Simplify right side
    1,859.04x = 3,881,455.22
  5. Step 5: Solve for x
    x = 3,881,455.22/1,859.04
  6. Step 6: Final answer
    x = 2,087.88

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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.