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Finding the Fourth Proportional to 12,900, 19,313.28 and 8,504.04

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Solution

The fourth proportional to 12,900, 19,313.28 and 8,504.04 is: 12,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900 : 19,313.28 = 8,504.04 : x
  2. Step 2: Convert to fraction form
    12,900/19,313.28 = 8,504.04/x
  3. Step 3: Cross multiply
    12,900x = 19,313.28 × 8,504.04
  4. Step 4: Simplify right side
    12,900x = 164,240,905.65
  5. Step 5: Solve for x
    x = 164,240,905.65/12,900
  6. Step 6: Final answer
    x = 12,731.85

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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.