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Finding the Fourth Proportional to 3,977.96, 5,968.98 and 1,897.58

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Solution

The fourth proportional to 3,977.96, 5,968.98 and 1,897.58 is: 2,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.96 : 5,968.98 = 1,897.58 : x
  2. Step 2: Convert to fraction form
    3,977.96/5,968.98 = 1,897.58/x
  3. Step 3: Cross multiply
    3,977.96x = 5,968.98 × 1,897.58
  4. Step 4: Simplify right side
    3,977.96x = 11,326,617.07
  5. Step 5: Solve for x
    x = 11,326,617.07/3,977.96
  6. Step 6: Final answer
    x = 2,847.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.