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Finding the Fourth Proportional to 18,682, 28,023.16 and 4,830.16

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Solution

The fourth proportional to 18,682, 28,023.16 and 4,830.16 is: 7,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682 : 28,023.16 = 4,830.16 : x
  2. Step 2: Convert to fraction form
    18,682/28,023.16 = 4,830.16/x
  3. Step 3: Cross multiply
    18,682x = 28,023.16 × 4,830.16
  4. Step 4: Simplify right side
    18,682x = 135,356,346.51
  5. Step 5: Solve for x
    x = 135,356,346.51/18,682
  6. Step 6: Final answer
    x = 7,245.28

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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.