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Finding the Fourth Proportional to 5,168.81, 7,747.04 and 1,878.05

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Solution

The fourth proportional to 5,168.81, 7,747.04 and 1,878.05 is: 2,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.81 : 7,747.04 = 1,878.05 : x
  2. Step 2: Convert to fraction form
    5,168.81/7,747.04 = 1,878.05/x
  3. Step 3: Cross multiply
    5,168.81x = 7,747.04 × 1,878.05
  4. Step 4: Simplify right side
    5,168.81x = 14,549,352.53
  5. Step 5: Solve for x
    x = 14,549,352.53/5,168.81
  6. Step 6: Final answer
    x = 2,814.83

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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.