Home / 2,131.40-3,197.58-977.48

Finding the Fourth Proportional to 2,131.40, 3,197.58 and 977.48

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Solution

The fourth proportional to 2,131.40, 3,197.58 and 977.48 is: 1,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.40 : 3,197.58 = 977.48 : x
  2. Step 2: Convert to fraction form
    2,131.40/3,197.58 = 977.48/x
  3. Step 3: Cross multiply
    2,131.40x = 3,197.58 × 977.48
  4. Step 4: Simplify right side
    2,131.40x = 3,125,570.50
  5. Step 5: Solve for x
    x = 3,125,570.50/2,131.40
  6. Step 6: Final answer
    x = 1,466.44

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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.