Home / 5,205.30-7,807.80-2,084.34

Finding the Fourth Proportional to 5,205.30, 7,807.80 and 2,084.34

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Solution

The fourth proportional to 5,205.30, 7,807.80 and 2,084.34 is: 3,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.30 : 7,807.80 = 2,084.34 : x
  2. Step 2: Convert to fraction form
    5,205.30/7,807.80 = 2,084.34/x
  3. Step 3: Cross multiply
    5,205.30x = 7,807.80 × 2,084.34
  4. Step 4: Simplify right side
    5,205.30x = 16,274,109.85
  5. Step 5: Solve for x
    x = 16,274,109.85/5,205.30
  6. Step 6: Final answer
    x = 3,126.45

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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.