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Finding the Fourth Proportional to 3,855, 5,319.72 and 2,176.20

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Solution

The fourth proportional to 3,855, 5,319.72 and 2,176.20 is: 3,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855 : 5,319.72 = 2,176.20 : x
  2. Step 2: Convert to fraction form
    3,855/5,319.72 = 2,176.20/x
  3. Step 3: Cross multiply
    3,855x = 5,319.72 × 2,176.20
  4. Step 4: Simplify right side
    3,855x = 11,576,774.66
  5. Step 5: Solve for x
    x = 11,576,774.66/3,855
  6. Step 6: Final answer
    x = 3,003.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.