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Finding the Fourth Proportional to 12,859, 19,281.55 and 6,939.07

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Solution

The fourth proportional to 12,859, 19,281.55 and 6,939.07 is: 10,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859 : 19,281.55 = 6,939.07 : x
  2. Step 2: Convert to fraction form
    12,859/19,281.55 = 6,939.07/x
  3. Step 3: Cross multiply
    12,859x = 19,281.55 × 6,939.07
  4. Step 4: Simplify right side
    12,859x = 133,796,025.16
  5. Step 5: Solve for x
    x = 133,796,025.16/12,859
  6. Step 6: Final answer
    x = 10,404.85

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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.