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Finding the Fourth Proportional to 18,612.96, 27,919.44 and 6,300

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Solution

The fourth proportional to 18,612.96, 27,919.44 and 6,300 is: 9,450

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,612.96 : 27,919.44 = 6,300 : x
  2. Step 2: Convert to fraction form
    18,612.96/27,919.44 = 6,300/x
  3. Step 3: Cross multiply
    18,612.96x = 27,919.44 × 6,300
  4. Step 4: Simplify right side
    18,612.96x = 175,892,472
  5. Step 5: Solve for x
    x = 175,892,472/18,612.96
  6. Step 6: Final answer
    x = 9,450

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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.