Home / 6,824-9,417.12-4,031.20

Finding the Fourth Proportional to 6,824, 9,417.12 and 4,031.20

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Solution

The fourth proportional to 6,824, 9,417.12 and 4,031.20 is: 5,563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824 : 9,417.12 = 4,031.20 : x
  2. Step 2: Convert to fraction form
    6,824/9,417.12 = 4,031.20/x
  3. Step 3: Cross multiply
    6,824x = 9,417.12 × 4,031.20
  4. Step 4: Simplify right side
    6,824x = 37,962,294.14
  5. Step 5: Solve for x
    x = 37,962,294.14/6,824
  6. Step 6: Final answer
    x = 5,563.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.