Home / 1,682.27-2,321.28-964.35

Finding the Fourth Proportional to 1,682.27, 2,321.28 and 964.35

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Solution

The fourth proportional to 1,682.27, 2,321.28 and 964.35 is: 1,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.27 : 2,321.28 = 964.35 : x
  2. Step 2: Convert to fraction form
    1,682.27/2,321.28 = 964.35/x
  3. Step 3: Cross multiply
    1,682.27x = 2,321.28 × 964.35
  4. Step 4: Simplify right side
    1,682.27x = 2,238,526.37
  5. Step 5: Solve for x
    x = 2,238,526.37/1,682.27
  6. Step 6: Final answer
    x = 1,330.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.