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Finding the Fourth Proportional to 2,784.51, 4,177.17 and 836.87

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Solution

The fourth proportional to 2,784.51, 4,177.17 and 836.87 is: 1,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.51 : 4,177.17 = 836.87 : x
  2. Step 2: Convert to fraction form
    2,784.51/4,177.17 = 836.87/x
  3. Step 3: Cross multiply
    2,784.51x = 4,177.17 × 836.87
  4. Step 4: Simplify right side
    2,784.51x = 3,495,727.37
  5. Step 5: Solve for x
    x = 3,495,727.37/2,784.51
  6. Step 6: Final answer
    x = 1,255.42

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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.