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Finding the Fourth Proportional to 2,382.85, 3,285.85 and 1,884.70

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Solution

The fourth proportional to 2,382.85, 3,285.85 and 1,884.70 is: 2,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.85 : 3,285.85 = 1,884.70 : x
  2. Step 2: Convert to fraction form
    2,382.85/3,285.85 = 1,884.70/x
  3. Step 3: Cross multiply
    2,382.85x = 3,285.85 × 1,884.70
  4. Step 4: Simplify right side
    2,382.85x = 6,192,820.35
  5. Step 5: Solve for x
    x = 6,192,820.35/2,382.85
  6. Step 6: Final answer
    x = 2,598.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.