Home / 3,137.18-4,705.40-828.86

Finding the Fourth Proportional to 3,137.18, 4,705.40 and 828.86

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Solution

The fourth proportional to 3,137.18, 4,705.40 and 828.86 is: 1,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.18 : 4,705.40 = 828.86 : x
  2. Step 2: Convert to fraction form
    3,137.18/4,705.40 = 828.86/x
  3. Step 3: Cross multiply
    3,137.18x = 4,705.40 × 828.86
  4. Step 4: Simplify right side
    3,137.18x = 3,900,117.84
  5. Step 5: Solve for x
    x = 3,900,117.84/3,137.18
  6. Step 6: Final answer
    x = 1,243.19

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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.