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Finding the Fourth Proportional to 34,568, 51,875.04 and 12,680

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Solution

The fourth proportional to 34,568, 51,875.04 and 12,680 is: 19,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568 : 51,875.04 = 12,680 : x
  2. Step 2: Convert to fraction form
    34,568/51,875.04 = 12,680/x
  3. Step 3: Cross multiply
    34,568x = 51,875.04 × 12,680
  4. Step 4: Simplify right side
    34,568x = 657,775,507.20
  5. Step 5: Solve for x
    x = 657,775,507.20/34,568
  6. Step 6: Final answer
    x = 19,028.45

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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.