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Finding the Fourth Proportional to 4,650.77, 6,976.01 and 1,140.80

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Solution

The fourth proportional to 4,650.77, 6,976.01 and 1,140.80 is: 1,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.77 : 6,976.01 = 1,140.80 : x
  2. Step 2: Convert to fraction form
    4,650.77/6,976.01 = 1,140.80/x
  3. Step 3: Cross multiply
    4,650.77x = 6,976.01 × 1,140.80
  4. Step 4: Simplify right side
    4,650.77x = 7,958,200.18
  5. Step 5: Solve for x
    x = 7,958,200.18/4,650.77
  6. Step 6: Final answer
    x = 1,711.16

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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.