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Finding the Fourth Proportional to 12,470.58, 18,709.52 and 4,680

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Solution

The fourth proportional to 12,470.58, 18,709.52 and 4,680 is: 7,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.58 : 18,709.52 = 4,680 : x
  2. Step 2: Convert to fraction form
    12,470.58/18,709.52 = 4,680/x
  3. Step 3: Cross multiply
    12,470.58x = 18,709.52 × 4,680
  4. Step 4: Simplify right side
    12,470.58x = 87,560,530.20
  5. Step 5: Solve for x
    x = 87,560,530.20/12,470.58
  6. Step 6: Final answer
    x = 7,021.37

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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.