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Finding the Fourth Proportional to 5,872.74, 8,811.15 and 3,678.87

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Solution

The fourth proportional to 5,872.74, 8,811.15 and 3,678.87 is: 5,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.74 : 8,811.15 = 3,678.87 : x
  2. Step 2: Convert to fraction form
    5,872.74/8,811.15 = 3,678.87/x
  3. Step 3: Cross multiply
    5,872.74x = 8,811.15 × 3,678.87
  4. Step 4: Simplify right side
    5,872.74x = 32,415,075.40
  5. Step 5: Solve for x
    x = 32,415,075.40/5,872.74
  6. Step 6: Final answer
    x = 5,519.58

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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.