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Finding the Fourth Proportional to 9,470.78, 14,209.80 and 3,627.80

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Solution

The fourth proportional to 9,470.78, 14,209.80 and 3,627.80 is: 5,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.78 : 14,209.80 = 3,627.80 : x
  2. Step 2: Convert to fraction form
    9,470.78/14,209.80 = 3,627.80/x
  3. Step 3: Cross multiply
    9,470.78x = 14,209.80 × 3,627.80
  4. Step 4: Simplify right side
    9,470.78x = 51,550,312.44
  5. Step 5: Solve for x
    x = 51,550,312.44/9,470.78
  6. Step 6: Final answer
    x = 5,443.09

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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.