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Finding the Fourth Proportional to 5,151.14, 7,726.71 and 1,255.54

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Solution

The fourth proportional to 5,151.14, 7,726.71 and 1,255.54 is: 1,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.14 : 7,726.71 = 1,255.54 : x
  2. Step 2: Convert to fraction form
    5,151.14/7,726.71 = 1,255.54/x
  3. Step 3: Cross multiply
    5,151.14x = 7,726.71 × 1,255.54
  4. Step 4: Simplify right side
    5,151.14x = 9,701,193.47
  5. Step 5: Solve for x
    x = 9,701,193.47/5,151.14
  6. Step 6: Final answer
    x = 1,883.31

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1.5x scale

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.