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Finding the Fourth Proportional to 6,783.54, 10,174.97 and 1,853.07

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Solution

The fourth proportional to 6,783.54, 10,174.97 and 1,853.07 is: 2,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.54 : 10,174.97 = 1,853.07 : x
  2. Step 2: Convert to fraction form
    6,783.54/10,174.97 = 1,853.07/x
  3. Step 3: Cross multiply
    6,783.54x = 10,174.97 × 1,853.07
  4. Step 4: Simplify right side
    6,783.54x = 18,854,922.39
  5. Step 5: Solve for x
    x = 18,854,922.39/6,783.54
  6. Step 6: Final answer
    x = 2,779.51

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Half scale
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Double scale
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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.