Home / 4,142.95-6,214.19-1,022.96

Finding the Fourth Proportional to 4,142.95, 6,214.19 and 1,022.96

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Solution

The fourth proportional to 4,142.95, 6,214.19 and 1,022.96 is: 1,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.95 : 6,214.19 = 1,022.96 : x
  2. Step 2: Convert to fraction form
    4,142.95/6,214.19 = 1,022.96/x
  3. Step 3: Cross multiply
    4,142.95x = 6,214.19 × 1,022.96
  4. Step 4: Simplify right side
    4,142.95x = 6,356,878.22
  5. Step 5: Solve for x
    x = 6,356,878.22/4,142.95
  6. Step 6: Final answer
    x = 1,534.39

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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.