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Finding the Fourth Proportional to 18,833, 28,249.50 and 6,521

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Solution

The fourth proportional to 18,833, 28,249.50 and 6,521 is: 9,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,833 : 28,249.50 = 6,521 : x
  2. Step 2: Convert to fraction form
    18,833/28,249.50 = 6,521/x
  3. Step 3: Cross multiply
    18,833x = 28,249.50 × 6,521
  4. Step 4: Simplify right side
    18,833x = 184,214,989.50
  5. Step 5: Solve for x
    x = 184,214,989.50/18,833
  6. Step 6: Final answer
    x = 9,781.50

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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.