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Finding the Fourth Proportional to 5,137.52, 7,705.67 and 2,019.83

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Solution

The fourth proportional to 5,137.52, 7,705.67 and 2,019.83 is: 3,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.52 : 7,705.67 = 2,019.83 : x
  2. Step 2: Convert to fraction form
    5,137.52/7,705.67 = 2,019.83/x
  3. Step 3: Cross multiply
    5,137.52x = 7,705.67 × 2,019.83
  4. Step 4: Simplify right side
    5,137.52x = 15,564,094.81
  5. Step 5: Solve for x
    x = 15,564,094.81/5,137.52
  6. Step 6: Final answer
    x = 3,029.50

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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.