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Finding the Fourth Proportional to 18,671, 28,007.04 and 4,820

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Solution

The fourth proportional to 18,671, 28,007.04 and 4,820 is: 7,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,671 : 28,007.04 = 4,820 : x
  2. Step 2: Convert to fraction form
    18,671/28,007.04 = 4,820/x
  3. Step 3: Cross multiply
    18,671x = 28,007.04 × 4,820
  4. Step 4: Simplify right side
    18,671x = 134,993,932.80
  5. Step 5: Solve for x
    x = 134,993,932.80/18,671
  6. Step 6: Final answer
    x = 7,230.14

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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.