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Finding the Fourth Proportional to 2,784.02, 4,176.62 and 836.37

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Solution

The fourth proportional to 2,784.02, 4,176.62 and 836.37 is: 1,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.02 : 4,176.62 = 836.37 : x
  2. Step 2: Convert to fraction form
    2,784.02/4,176.62 = 836.37/x
  3. Step 3: Cross multiply
    2,784.02x = 4,176.62 × 836.37
  4. Step 4: Simplify right side
    2,784.02x = 3,493,201.76
  5. Step 5: Solve for x
    x = 3,493,201.76/2,784.02
  6. Step 6: Final answer
    x = 1,254.74

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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.