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Finding the Fourth Proportional to 9,984.30, 14,978.10 and 3,409.80

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Solution

The fourth proportional to 9,984.30, 14,978.10 and 3,409.80 is: 5,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.30 : 14,978.10 = 3,409.80 : x
  2. Step 2: Convert to fraction form
    9,984.30/14,978.10 = 3,409.80/x
  3. Step 3: Cross multiply
    9,984.30x = 14,978.10 × 3,409.80
  4. Step 4: Simplify right side
    9,984.30x = 51,072,325.38
  5. Step 5: Solve for x
    x = 51,072,325.38/9,984.30
  6. Step 6: Final answer
    x = 5,115.26

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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.