Home / 7,176.14-10,764.20-1,982

Finding the Fourth Proportional to 7,176.14, 10,764.20 and 1,982

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Solution

The fourth proportional to 7,176.14, 10,764.20 and 1,982 is: 2,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.14 : 10,764.20 = 1,982 : x
  2. Step 2: Convert to fraction form
    7,176.14/10,764.20 = 1,982/x
  3. Step 3: Cross multiply
    7,176.14x = 10,764.20 × 1,982
  4. Step 4: Simplify right side
    7,176.14x = 21,334,634.49
  5. Step 5: Solve for x
    x = 21,334,634.49/7,176.14
  6. Step 6: Final answer
    x = 2,973.00

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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.