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Finding the Fourth Proportional to 10,676.40, 16,019.40 and 5,127.60

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Solution

The fourth proportional to 10,676.40, 16,019.40 and 5,127.60 is: 7,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.40 : 16,019.40 = 5,127.60 : x
  2. Step 2: Convert to fraction form
    10,676.40/16,019.40 = 5,127.60/x
  3. Step 3: Cross multiply
    10,676.40x = 16,019.40 × 5,127.60
  4. Step 4: Simplify right side
    10,676.40x = 82,141,075.44
  5. Step 5: Solve for x
    x = 82,141,075.44/10,676.40
  6. Step 6: Final answer
    x = 7,693.71

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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.