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Finding the Fourth Proportional to 1,970.54, 2,717.39 and 1,672.60

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Solution

The fourth proportional to 1,970.54, 2,717.39 and 1,672.60 is: 2,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.54 : 2,717.39 = 1,672.60 : x
  2. Step 2: Convert to fraction form
    1,970.54/2,717.39 = 1,672.60/x
  3. Step 3: Cross multiply
    1,970.54x = 2,717.39 × 1,672.60
  4. Step 4: Simplify right side
    1,970.54x = 4,545,092.93
  5. Step 5: Solve for x
    x = 4,545,092.93/1,970.54
  6. Step 6: Final answer
    x = 2,306.53

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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.