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Finding the Fourth Proportional to 2,784.92, 4,177.46 and 810.68

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Solution

The fourth proportional to 2,784.92, 4,177.46 and 810.68 is: 1,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.92 : 4,177.46 = 810.68 : x
  2. Step 2: Convert to fraction form
    2,784.92/4,177.46 = 810.68/x
  3. Step 3: Cross multiply
    2,784.92x = 4,177.46 × 810.68
  4. Step 4: Simplify right side
    2,784.92x = 3,386,583.27
  5. Step 5: Solve for x
    x = 3,386,583.27/2,784.92
  6. Step 6: Final answer
    x = 1,216.04

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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.