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Finding the Fourth Proportional to 11,250, 16,875.83 and 4,324.50

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Solution

The fourth proportional to 11,250, 16,875.83 and 4,324.50 is: 6,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250 : 16,875.83 = 4,324.50 : x
  2. Step 2: Convert to fraction form
    11,250/16,875.83 = 4,324.50/x
  3. Step 3: Cross multiply
    11,250x = 16,875.83 × 4,324.50
  4. Step 4: Simplify right side
    11,250x = 72,979,537.65
  5. Step 5: Solve for x
    x = 72,979,537.65/11,250
  6. Step 6: Final answer
    x = 6,487.07

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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.