Home / 1,684.34-2,324.28-976.06

Finding the Fourth Proportional to 1,684.34, 2,324.28 and 976.06

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Solution

The fourth proportional to 1,684.34, 2,324.28 and 976.06 is: 1,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.34 : 2,324.28 = 976.06 : x
  2. Step 2: Convert to fraction form
    1,684.34/2,324.28 = 976.06/x
  3. Step 3: Cross multiply
    1,684.34x = 2,324.28 × 976.06
  4. Step 4: Simplify right side
    1,684.34x = 2,268,636.74
  5. Step 5: Solve for x
    x = 2,268,636.74/1,684.34
  6. Step 6: Final answer
    x = 1,346.90

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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.