Home / 1,850.34-2,771.85-971.53

Finding the Fourth Proportional to 1,850.34, 2,771.85 and 971.53

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Solution

The fourth proportional to 1,850.34, 2,771.85 and 971.53 is: 1,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.34 : 2,771.85 = 971.53 : x
  2. Step 2: Convert to fraction form
    1,850.34/2,771.85 = 971.53/x
  3. Step 3: Cross multiply
    1,850.34x = 2,771.85 × 971.53
  4. Step 4: Simplify right side
    1,850.34x = 2,692,932.14
  5. Step 5: Solve for x
    x = 2,692,932.14/1,850.34
  6. Step 6: Final answer
    x = 1,455.37

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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.