Home / 2,076.23-3,114.32-689.58

Finding the Fourth Proportional to 2,076.23, 3,114.32 and 689.58

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Solution

The fourth proportional to 2,076.23, 3,114.32 and 689.58 is: 1,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.23 : 3,114.32 = 689.58 : x
  2. Step 2: Convert to fraction form
    2,076.23/3,114.32 = 689.58/x
  3. Step 3: Cross multiply
    2,076.23x = 3,114.32 × 689.58
  4. Step 4: Simplify right side
    2,076.23x = 2,147,569.34
  5. Step 5: Solve for x
    x = 2,147,569.34/2,076.23
  6. Step 6: Final answer
    x = 1,034.36

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1.5x scale

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.