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Finding the Fourth Proportional to 10,291, 14,201.60 and 5,575.28

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Solution

The fourth proportional to 10,291, 14,201.60 and 5,575.28 is: 7,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291 : 14,201.60 = 5,575.28 : x
  2. Step 2: Convert to fraction form
    10,291/14,201.60 = 5,575.28/x
  3. Step 3: Cross multiply
    10,291x = 14,201.60 × 5,575.28
  4. Step 4: Simplify right side
    10,291x = 79,177,896.45
  5. Step 5: Solve for x
    x = 79,177,896.45/10,291
  6. Step 6: Final answer
    x = 7,693.90

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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.