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Finding the Fourth Proportional to 1,955.77, 2,698.94 and 1,071.57

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Solution

The fourth proportional to 1,955.77, 2,698.94 and 1,071.57 is: 1,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.77 : 2,698.94 = 1,071.57 : x
  2. Step 2: Convert to fraction form
    1,955.77/2,698.94 = 1,071.57/x
  3. Step 3: Cross multiply
    1,955.77x = 2,698.94 × 1,071.57
  4. Step 4: Simplify right side
    1,955.77x = 2,892,103.14
  5. Step 5: Solve for x
    x = 2,892,103.14/1,955.77
  6. Step 6: Final answer
    x = 1,478.75

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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.