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Finding the Fourth Proportional to 5,154.62, 7,731.90 and 1,866.94

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Solution

The fourth proportional to 5,154.62, 7,731.90 and 1,866.94 is: 2,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.62 : 7,731.90 = 1,866.94 : x
  2. Step 2: Convert to fraction form
    5,154.62/7,731.90 = 1,866.94/x
  3. Step 3: Cross multiply
    5,154.62x = 7,731.90 × 1,866.94
  4. Step 4: Simplify right side
    5,154.62x = 14,434,993.39
  5. Step 5: Solve for x
    x = 14,434,993.39/5,154.62
  6. Step 6: Final answer
    x = 2,800.40

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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.