Home / 5,116.40-7,675.20-1,829.78

Finding the Fourth Proportional to 5,116.40, 7,675.20 and 1,829.78

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Solution

The fourth proportional to 5,116.40, 7,675.20 and 1,829.78 is: 2,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.40 : 7,675.20 = 1,829.78 : x
  2. Step 2: Convert to fraction form
    5,116.40/7,675.20 = 1,829.78/x
  3. Step 3: Cross multiply
    5,116.40x = 7,675.20 × 1,829.78
  4. Step 4: Simplify right side
    5,116.40x = 14,043,927.46
  5. Step 5: Solve for x
    x = 14,043,927.46/5,116.40
  6. Step 6: Final answer
    x = 2,744.88

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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.