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Finding the Fourth Proportional to 5,137.65, 7,700.09 and 2,671.02

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Solution

The fourth proportional to 5,137.65, 7,700.09 and 2,671.02 is: 4,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.65 : 7,700.09 = 2,671.02 : x
  2. Step 2: Convert to fraction form
    5,137.65/7,700.09 = 2,671.02/x
  3. Step 3: Cross multiply
    5,137.65x = 7,700.09 × 2,671.02
  4. Step 4: Simplify right side
    5,137.65x = 20,567,081.04
  5. Step 5: Solve for x
    x = 20,567,081.04/5,137.65
  6. Step 6: Final answer
    x = 4,003.21

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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.