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Finding the Fourth Proportional to 30,846, 46,265.56 and 8,660.24

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Solution

The fourth proportional to 30,846, 46,265.56 and 8,660.24 is: 12,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846 : 46,265.56 = 8,660.24 : x
  2. Step 2: Convert to fraction form
    30,846/46,265.56 = 8,660.24/x
  3. Step 3: Cross multiply
    30,846x = 46,265.56 × 8,660.24
  4. Step 4: Simplify right side
    30,846x = 400,670,853.33
  5. Step 5: Solve for x
    x = 400,670,853.33/30,846
  6. Step 6: Final answer
    x = 12,989.39

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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.