Home / 6,824.76-10,242-2,930.28

Finding the Fourth Proportional to 6,824.76, 10,242 and 2,930.28

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Solution

The fourth proportional to 6,824.76, 10,242 and 2,930.28 is: 4,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.76 : 10,242 = 2,930.28 : x
  2. Step 2: Convert to fraction form
    6,824.76/10,242 = 2,930.28/x
  3. Step 3: Cross multiply
    6,824.76x = 10,242 × 2,930.28
  4. Step 4: Simplify right side
    6,824.76x = 30,011,927.76
  5. Step 5: Solve for x
    x = 30,011,927.76/6,824.76
  6. Step 6: Final answer
    x = 4,397.51

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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.