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Finding the Fourth Proportional to 12,783, 19,183.20 and 4,575

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Solution

The fourth proportional to 12,783, 19,183.20 and 4,575 is: 6,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783 : 19,183.20 = 4,575 : x
  2. Step 2: Convert to fraction form
    12,783/19,183.20 = 4,575/x
  3. Step 3: Cross multiply
    12,783x = 19,183.20 × 4,575
  4. Step 4: Simplify right side
    12,783x = 87,763,140
  5. Step 5: Solve for x
    x = 87,763,140/12,783
  6. Step 6: Final answer
    x = 6,865.61

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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.