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Finding the Fourth Proportional to 12,378, 18,569.92 and 4,170

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Solution

The fourth proportional to 12,378, 18,569.92 and 4,170 is: 6,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378 : 18,569.92 = 4,170 : x
  2. Step 2: Convert to fraction form
    12,378/18,569.92 = 4,170/x
  3. Step 3: Cross multiply
    12,378x = 18,569.92 × 4,170
  4. Step 4: Simplify right side
    12,378x = 77,436,566.40
  5. Step 5: Solve for x
    x = 77,436,566.40/12,378
  6. Step 6: Final answer
    x = 6,255.98

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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.