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Finding the Fourth Proportional to 7,750.47, 10,695 and 4,918.31

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Solution

The fourth proportional to 7,750.47, 10,695 and 4,918.31 is: 6,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.47 : 10,695 = 4,918.31 : x
  2. Step 2: Convert to fraction form
    7,750.47/10,695 = 4,918.31/x
  3. Step 3: Cross multiply
    7,750.47x = 10,695 × 4,918.31
  4. Step 4: Simplify right side
    7,750.47x = 52,601,325.45
  5. Step 5: Solve for x
    x = 52,601,325.45/7,750.47
  6. Step 6: Final answer
    x = 6,786.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.