Home / 3,102.14-4,653.27-1,457.78

Finding the Fourth Proportional to 3,102.14, 4,653.27 and 1,457.78

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Solution

The fourth proportional to 3,102.14, 4,653.27 and 1,457.78 is: 2,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.14 : 4,653.27 = 1,457.78 : x
  2. Step 2: Convert to fraction form
    3,102.14/4,653.27 = 1,457.78/x
  3. Step 3: Cross multiply
    3,102.14x = 4,653.27 × 1,457.78
  4. Step 4: Simplify right side
    3,102.14x = 6,783,443.94
  5. Step 5: Solve for x
    x = 6,783,443.94/3,102.14
  6. Step 6: Final answer
    x = 2,186.70

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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.