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Finding the Fourth Proportional to 10,040.50, 13,856 and 5,564.33

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Solution

The fourth proportional to 10,040.50, 13,856 and 5,564.33 is: 7,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.50 : 13,856 = 5,564.33 : x
  2. Step 2: Convert to fraction form
    10,040.50/13,856 = 5,564.33/x
  3. Step 3: Cross multiply
    10,040.50x = 13,856 × 5,564.33
  4. Step 4: Simplify right side
    10,040.50x = 77,099,287.20
  5. Step 5: Solve for x
    x = 77,099,287.20/10,040.50
  6. Step 6: Final answer
    x = 7,678.83

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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.