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Finding the Fourth Proportional to 18,819, 28,228.50 and 6,507

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Solution

The fourth proportional to 18,819, 28,228.50 and 6,507 is: 9,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,819 : 28,228.50 = 6,507 : x
  2. Step 2: Convert to fraction form
    18,819/28,228.50 = 6,507/x
  3. Step 3: Cross multiply
    18,819x = 28,228.50 × 6,507
  4. Step 4: Simplify right side
    18,819x = 183,682,849.50
  5. Step 5: Solve for x
    x = 183,682,849.50/18,819
  6. Step 6: Final answer
    x = 9,760.50

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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.