Home / 1,857.14-2,782.64-1,306.64

Finding the Fourth Proportional to 1,857.14, 2,782.64 and 1,306.64

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Solution

The fourth proportional to 1,857.14, 2,782.64 and 1,306.64 is: 1,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.14 : 2,782.64 = 1,306.64 : x
  2. Step 2: Convert to fraction form
    1,857.14/2,782.64 = 1,306.64/x
  3. Step 3: Cross multiply
    1,857.14x = 2,782.64 × 1,306.64
  4. Step 4: Simplify right side
    1,857.14x = 3,635,888.28
  5. Step 5: Solve for x
    x = 3,635,888.28/1,857.14
  6. Step 6: Final answer
    x = 1,957.79

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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.