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Finding the Fourth Proportional to 5,151.00, 7,726.80 and 1,453.54

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Solution

The fourth proportional to 5,151.00, 7,726.80 and 1,453.54 is: 2,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.00 : 7,726.80 = 1,453.54 : x
  2. Step 2: Convert to fraction form
    5,151.00/7,726.80 = 1,453.54/x
  3. Step 3: Cross multiply
    5,151.00x = 7,726.80 × 1,453.54
  4. Step 4: Simplify right side
    5,151.00x = 11,231,212.87
  5. Step 5: Solve for x
    x = 11,231,212.87/5,151.00
  6. Step 6: Final answer
    x = 2,180.40

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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.