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Finding the Fourth Proportional to 6,665.40, 9,975.06 and 5,129.40

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Solution

The fourth proportional to 6,665.40, 9,975.06 and 5,129.40 is: 7,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.40 : 9,975.06 = 5,129.40 : x
  2. Step 2: Convert to fraction form
    6,665.40/9,975.06 = 5,129.40/x
  3. Step 3: Cross multiply
    6,665.40x = 9,975.06 × 5,129.40
  4. Step 4: Simplify right side
    6,665.40x = 51,166,072.76
  5. Step 5: Solve for x
    x = 51,166,072.76/6,665.40
  6. Step 6: Final answer
    x = 7,676.37

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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.