Home / 2,102.34-3,154.43-1,176.51

Finding the Fourth Proportional to 2,102.34, 3,154.43 and 1,176.51

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Solution

The fourth proportional to 2,102.34, 3,154.43 and 1,176.51 is: 1,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.34 : 3,154.43 = 1,176.51 : x
  2. Step 2: Convert to fraction form
    2,102.34/3,154.43 = 1,176.51/x
  3. Step 3: Cross multiply
    2,102.34x = 3,154.43 × 1,176.51
  4. Step 4: Simplify right side
    2,102.34x = 3,711,218.44
  5. Step 5: Solve for x
    x = 3,711,218.44/2,102.34
  6. Step 6: Final answer
    x = 1,765.28

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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.