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Finding the Fourth Proportional to 10,379.68, 15,576 and 7,563.28

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Solution

The fourth proportional to 10,379.68, 15,576 and 7,563.28 is: 11,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.68 : 15,576 = 7,563.28 : x
  2. Step 2: Convert to fraction form
    10,379.68/15,576 = 7,563.28/x
  3. Step 3: Cross multiply
    10,379.68x = 15,576 × 7,563.28
  4. Step 4: Simplify right side
    10,379.68x = 117,805,649.28
  5. Step 5: Solve for x
    x = 117,805,649.28/10,379.68
  6. Step 6: Final answer
    x = 11,349.64

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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.