Home / 1,684.34-2,324.31-976.15

Finding the Fourth Proportional to 1,684.34, 2,324.31 and 976.15

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Solution

The fourth proportional to 1,684.34, 2,324.31 and 976.15 is: 1,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.34 : 2,324.31 = 976.15 : x
  2. Step 2: Convert to fraction form
    1,684.34/2,324.31 = 976.15/x
  3. Step 3: Cross multiply
    1,684.34x = 2,324.31 × 976.15
  4. Step 4: Simplify right side
    1,684.34x = 2,268,865.74
  5. Step 5: Solve for x
    x = 2,268,865.74/1,684.34
  6. Step 6: Final answer
    x = 1,347.04

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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.