Home / 2,431.24-3,647.37-970.31

Finding the Fourth Proportional to 2,431.24, 3,647.37 and 970.31

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Solution

The fourth proportional to 2,431.24, 3,647.37 and 970.31 is: 1,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.24 : 3,647.37 = 970.31 : x
  2. Step 2: Convert to fraction form
    2,431.24/3,647.37 = 970.31/x
  3. Step 3: Cross multiply
    2,431.24x = 3,647.37 × 970.31
  4. Step 4: Simplify right side
    2,431.24x = 3,539,079.58
  5. Step 5: Solve for x
    x = 3,539,079.58/2,431.24
  6. Step 6: Final answer
    x = 1,455.67

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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.