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Finding the Fourth Proportional to 5,123.88, 7,686.63 and 1,836.90

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Solution

The fourth proportional to 5,123.88, 7,686.63 and 1,836.90 is: 2,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.88 : 7,686.63 = 1,836.90 : x
  2. Step 2: Convert to fraction form
    5,123.88/7,686.63 = 1,836.90/x
  3. Step 3: Cross multiply
    5,123.88x = 7,686.63 × 1,836.90
  4. Step 4: Simplify right side
    5,123.88x = 14,119,570.65
  5. Step 5: Solve for x
    x = 14,119,570.65/5,123.88
  6. Step 6: Final answer
    x = 2,755.64

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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.