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Finding the Fourth Proportional to 1,957.26, 2,920.71 and 1,749.60

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Solution

The fourth proportional to 1,957.26, 2,920.71 and 1,749.60 is: 2,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.26 : 2,920.71 = 1,749.60 : x
  2. Step 2: Convert to fraction form
    1,957.26/2,920.71 = 1,749.60/x
  3. Step 3: Cross multiply
    1,957.26x = 2,920.71 × 1,749.60
  4. Step 4: Simplify right side
    1,957.26x = 5,110,074.22
  5. Step 5: Solve for x
    x = 5,110,074.22/1,957.26
  6. Step 6: Final answer
    x = 2,610.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.