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Finding the Fourth Proportional to 1,961.51, 2,706.76 and 1,077.24

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Solution

The fourth proportional to 1,961.51, 2,706.76 and 1,077.24 is: 1,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.51 : 2,706.76 = 1,077.24 : x
  2. Step 2: Convert to fraction form
    1,961.51/2,706.76 = 1,077.24/x
  3. Step 3: Cross multiply
    1,961.51x = 2,706.76 × 1,077.24
  4. Step 4: Simplify right side
    1,961.51x = 2,915,830.14
  5. Step 5: Solve for x
    x = 2,915,830.14/1,961.51
  6. Step 6: Final answer
    x = 1,486.52

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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.