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Finding the Fourth Proportional to 3,183.95, 4,776.05 and 875.45

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Solution

The fourth proportional to 3,183.95, 4,776.05 and 875.45 is: 1,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.95 : 4,776.05 = 875.45 : x
  2. Step 2: Convert to fraction form
    3,183.95/4,776.05 = 875.45/x
  3. Step 3: Cross multiply
    3,183.95x = 4,776.05 × 875.45
  4. Step 4: Simplify right side
    3,183.95x = 4,181,164.72
  5. Step 5: Solve for x
    x = 4,181,164.72/3,183.95
  6. Step 6: Final answer
    x = 1,313.20

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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.