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Finding the Fourth Proportional to 2,784.84, 4,177.26 and 837.34

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Solution

The fourth proportional to 2,784.84, 4,177.26 and 837.34 is: 1,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.84 : 4,177.26 = 837.34 : x
  2. Step 2: Convert to fraction form
    2,784.84/4,177.26 = 837.34/x
  3. Step 3: Cross multiply
    2,784.84x = 4,177.26 × 837.34
  4. Step 4: Simplify right side
    2,784.84x = 3,497,786.89
  5. Step 5: Solve for x
    x = 3,497,786.89/2,784.84
  6. Step 6: Final answer
    x = 1,256.01

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Double scale
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Similar ratio
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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.