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Finding the Fourth Proportional to 3,902, 5,389.12 and 3,028.40

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Solution

The fourth proportional to 3,902, 5,389.12 and 3,028.40 is: 4,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902 : 5,389.12 = 3,028.40 : x
  2. Step 2: Convert to fraction form
    3,902/5,389.12 = 3,028.40/x
  3. Step 3: Cross multiply
    3,902x = 5,389.12 × 3,028.40
  4. Step 4: Simplify right side
    3,902x = 16,320,411.01
  5. Step 5: Solve for x
    x = 16,320,411.01/3,902
  6. Step 6: Final answer
    x = 4,182.58

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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.