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Finding the Fourth Proportional to 5,017.50, 7,529.49 and 1,939.50

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Solution

The fourth proportional to 5,017.50, 7,529.49 and 1,939.50 is: 2,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.50 : 7,529.49 = 1,939.50 : x
  2. Step 2: Convert to fraction form
    5,017.50/7,529.49 = 1,939.50/x
  3. Step 3: Cross multiply
    5,017.50x = 7,529.49 × 1,939.50
  4. Step 4: Simplify right side
    5,017.50x = 14,603,445.86
  5. Step 5: Solve for x
    x = 14,603,445.86/5,017.50
  6. Step 6: Final answer
    x = 2,910.50

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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.