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Finding the Fourth Proportional to 10,697.85, 14,754.02 and 8,040.65

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Solution

The fourth proportional to 10,697.85, 14,754.02 and 8,040.65 is: 11,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.85 : 14,754.02 = 8,040.65 : x
  2. Step 2: Convert to fraction form
    10,697.85/14,754.02 = 8,040.65/x
  3. Step 3: Cross multiply
    10,697.85x = 14,754.02 × 8,040.65
  4. Step 4: Simplify right side
    10,697.85x = 118,631,796.94
  5. Step 5: Solve for x
    x = 118,631,796.94/10,697.85
  6. Step 6: Final answer
    x = 11,089.31

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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.