Home / 1,233.36-1,847.21-971.53

Finding the Fourth Proportional to 1,233.36, 1,847.21 and 971.53

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Solution

The fourth proportional to 1,233.36, 1,847.21 and 971.53 is: 1,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.36 : 1,847.21 = 971.53 : x
  2. Step 2: Convert to fraction form
    1,233.36/1,847.21 = 971.53/x
  3. Step 3: Cross multiply
    1,233.36x = 1,847.21 × 971.53
  4. Step 4: Simplify right side
    1,233.36x = 1,794,610.46
  5. Step 5: Solve for x
    x = 1,794,610.46/1,233.36
  6. Step 6: Final answer
    x = 1,455.06

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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.