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Finding the Fourth Proportional to 1,897.54, 2,616 and 1,268.20

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Solution

The fourth proportional to 1,897.54, 2,616 and 1,268.20 is: 1,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.54 : 2,616 = 1,268.20 : x
  2. Step 2: Convert to fraction form
    1,897.54/2,616 = 1,268.20/x
  3. Step 3: Cross multiply
    1,897.54x = 2,616 × 1,268.20
  4. Step 4: Simplify right side
    1,897.54x = 3,317,611.20
  5. Step 5: Solve for x
    x = 3,317,611.20/1,897.54
  6. Step 6: Final answer
    x = 1,748.37

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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.