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Finding the Fourth Proportional to 15,083, 20,815.50 and 8,459

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Solution

The fourth proportional to 15,083, 20,815.50 and 8,459 is: 11,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083 : 20,815.50 = 8,459 : x
  2. Step 2: Convert to fraction form
    15,083/20,815.50 = 8,459/x
  3. Step 3: Cross multiply
    15,083x = 20,815.50 × 8,459
  4. Step 4: Simplify right side
    15,083x = 176,078,314.50
  5. Step 5: Solve for x
    x = 176,078,314.50/15,083
  6. Step 6: Final answer
    x = 11,673.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.