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Finding the Fourth Proportional to 2,963.69, 4,089.93 and 1,917.57

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Solution

The fourth proportional to 2,963.69, 4,089.93 and 1,917.57 is: 2,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.69 : 4,089.93 = 1,917.57 : x
  2. Step 2: Convert to fraction form
    2,963.69/4,089.93 = 1,917.57/x
  3. Step 3: Cross multiply
    2,963.69x = 4,089.93 × 1,917.57
  4. Step 4: Simplify right side
    2,963.69x = 7,842,735.22
  5. Step 5: Solve for x
    x = 7,842,735.22/2,963.69
  6. Step 6: Final answer
    x = 2,646.27

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1.5x scale

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.