Home / 5,209.30-7,812.40-2,837

Finding the Fourth Proportional to 5,209.30, 7,812.40 and 2,837

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Solution

The fourth proportional to 5,209.30, 7,812.40 and 2,837 is: 4,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.30 : 7,812.40 = 2,837 : x
  2. Step 2: Convert to fraction form
    5,209.30/7,812.40 = 2,837/x
  3. Step 3: Cross multiply
    5,209.30x = 7,812.40 × 2,837
  4. Step 4: Simplify right side
    5,209.30x = 22,163,778.80
  5. Step 5: Solve for x
    x = 22,163,778.80/5,209.30
  6. Step 6: Final answer
    x = 4,254.66

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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.