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Finding the Fourth Proportional to 3,086, 4,628.66 and 777.50

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Solution

The fourth proportional to 3,086, 4,628.66 and 777.50 is: 1,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086 : 4,628.66 = 777.50 : x
  2. Step 2: Convert to fraction form
    3,086/4,628.66 = 777.50/x
  3. Step 3: Cross multiply
    3,086x = 4,628.66 × 777.50
  4. Step 4: Simplify right side
    3,086x = 3,598,783.15
  5. Step 5: Solve for x
    x = 3,598,783.15/3,086
  6. Step 6: Final answer
    x = 1,166.16

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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.