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Finding the Fourth Proportional to 3,900.51, 5,381.17 and 2,405.84

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Solution

The fourth proportional to 3,900.51, 5,381.17 and 2,405.84 is: 3,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.51 : 5,381.17 = 2,405.84 : x
  2. Step 2: Convert to fraction form
    3,900.51/5,381.17 = 2,405.84/x
  3. Step 3: Cross multiply
    3,900.51x = 5,381.17 × 2,405.84
  4. Step 4: Simplify right side
    3,900.51x = 12,946,201.11
  5. Step 5: Solve for x
    x = 12,946,201.11/3,900.51
  6. Step 6: Final answer
    x = 3,319.10

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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.