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Finding the Fourth Proportional to 5,205.87, 7,809.93 and 1,918.98

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Solution

The fourth proportional to 5,205.87, 7,809.93 and 1,918.98 is: 2,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.87 : 7,809.93 = 1,918.98 : x
  2. Step 2: Convert to fraction form
    5,205.87/7,809.93 = 1,918.98/x
  3. Step 3: Cross multiply
    5,205.87x = 7,809.93 × 1,918.98
  4. Step 4: Simplify right side
    5,205.87x = 14,987,099.47
  5. Step 5: Solve for x
    x = 14,987,099.47/5,205.87
  6. Step 6: Final answer
    x = 2,878.88

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1.5x scale

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.