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Finding the Fourth Proportional to 13,425, 20,125.18 and 4,653.78

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Solution

The fourth proportional to 13,425, 20,125.18 and 4,653.78 is: 6,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425 : 20,125.18 = 4,653.78 : x
  2. Step 2: Convert to fraction form
    13,425/20,125.18 = 4,653.78/x
  3. Step 3: Cross multiply
    13,425x = 20,125.18 × 4,653.78
  4. Step 4: Simplify right side
    13,425x = 93,658,160.18
  5. Step 5: Solve for x
    x = 93,658,160.18/13,425
  6. Step 6: Final answer
    x = 6,976.40

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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.