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Finding the Fourth Proportional to 2,785.61, 4,178.42 and 837.82

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Solution

The fourth proportional to 2,785.61, 4,178.42 and 837.82 is: 1,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.61 : 4,178.42 = 837.82 : x
  2. Step 2: Convert to fraction form
    2,785.61/4,178.42 = 837.82/x
  3. Step 3: Cross multiply
    2,785.61x = 4,178.42 × 837.82
  4. Step 4: Simplify right side
    2,785.61x = 3,500,742.95
  5. Step 5: Solve for x
    x = 3,500,742.95/2,785.61
  6. Step 6: Final answer
    x = 1,256.72

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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.