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Finding the Fourth Proportional to 1,955.16, 2,698.13 and 1,070.97

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Solution

The fourth proportional to 1,955.16, 2,698.13 and 1,070.97 is: 1,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.16 : 2,698.13 = 1,070.97 : x
  2. Step 2: Convert to fraction form
    1,955.16/2,698.13 = 1,070.97/x
  3. Step 3: Cross multiply
    1,955.16x = 2,698.13 × 1,070.97
  4. Step 4: Simplify right side
    1,955.16x = 2,889,608.85
  5. Step 5: Solve for x
    x = 2,889,608.85/1,955.16
  6. Step 6: Final answer
    x = 1,477.94

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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.