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Finding the Fourth Proportional to 5,153.63, 7,731.45 and 1,866.85

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Solution

The fourth proportional to 5,153.63, 7,731.45 and 1,866.85 is: 2,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.63 : 7,731.45 = 1,866.85 : x
  2. Step 2: Convert to fraction form
    5,153.63/7,731.45 = 1,866.85/x
  3. Step 3: Cross multiply
    5,153.63x = 7,731.45 × 1,866.85
  4. Step 4: Simplify right side
    5,153.63x = 14,433,438.10
  5. Step 5: Solve for x
    x = 14,433,438.10/5,153.63
  6. Step 6: Final answer
    x = 2,800.64

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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.