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Finding the Fourth Proportional to 5,187.54, 7,774.82 and 4,087.56

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Solution

The fourth proportional to 5,187.54, 7,774.82 and 4,087.56 is: 6,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.54 : 7,774.82 = 4,087.56 : x
  2. Step 2: Convert to fraction form
    5,187.54/7,774.82 = 4,087.56/x
  3. Step 3: Cross multiply
    5,187.54x = 7,774.82 × 4,087.56
  4. Step 4: Simplify right side
    5,187.54x = 31,780,043.24
  5. Step 5: Solve for x
    x = 31,780,043.24/5,187.54
  6. Step 6: Final answer
    x = 6,126.23

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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.