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Finding the Fourth Proportional to 5,205.52, 7,809.26 and 1,918.86

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Solution

The fourth proportional to 5,205.52, 7,809.26 and 1,918.86 is: 2,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.52 : 7,809.26 = 1,918.86 : x
  2. Step 2: Convert to fraction form
    5,205.52/7,809.26 = 1,918.86/x
  3. Step 3: Cross multiply
    5,205.52x = 7,809.26 × 1,918.86
  4. Step 4: Simplify right side
    5,205.52x = 14,984,914.45
  5. Step 5: Solve for x
    x = 14,984,914.45/5,205.52
  6. Step 6: Final answer
    x = 2,878.66

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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.