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Finding the Fourth Proportional to 5,151.74, 7,737.96 and 3,075.80

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Solution

The fourth proportional to 5,151.74, 7,737.96 and 3,075.80 is: 4,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.74 : 7,737.96 = 3,075.80 : x
  2. Step 2: Convert to fraction form
    5,151.74/7,737.96 = 3,075.80/x
  3. Step 3: Cross multiply
    5,151.74x = 7,737.96 × 3,075.80
  4. Step 4: Simplify right side
    5,151.74x = 23,800,417.37
  5. Step 5: Solve for x
    x = 23,800,417.37/5,151.74
  6. Step 6: Final answer
    x = 4,619.88

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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.