Home / 3,138.10-4,706-1,057.66

Finding the Fourth Proportional to 3,138.10, 4,706 and 1,057.66

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Solution

The fourth proportional to 3,138.10, 4,706 and 1,057.66 is: 1,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.10 : 4,706 = 1,057.66 : x
  2. Step 2: Convert to fraction form
    3,138.10/4,706 = 1,057.66/x
  3. Step 3: Cross multiply
    3,138.10x = 4,706 × 1,057.66
  4. Step 4: Simplify right side
    3,138.10x = 4,977,347.96
  5. Step 5: Solve for x
    x = 4,977,347.96/3,138.10
  6. Step 6: Final answer
    x = 1,586.10

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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.