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Finding the Fourth Proportional to 3,953, 5,455.12 and 2,184.61

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Solution

The fourth proportional to 3,953, 5,455.12 and 2,184.61 is: 3,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953 : 5,455.12 = 2,184.61 : x
  2. Step 2: Convert to fraction form
    3,953/5,455.12 = 2,184.61/x
  3. Step 3: Cross multiply
    3,953x = 5,455.12 × 2,184.61
  4. Step 4: Simplify right side
    3,953x = 11,917,271.50
  5. Step 5: Solve for x
    x = 11,917,271.50/3,953
  6. Step 6: Final answer
    x = 3,014.74

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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.