Home / 10,804.40-14,905.98-6,824

Finding the Fourth Proportional to 10,804.40, 14,905.98 and 6,824

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Solution

The fourth proportional to 10,804.40, 14,905.98 and 6,824 is: 9,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.40 : 14,905.98 = 6,824 : x
  2. Step 2: Convert to fraction form
    10,804.40/14,905.98 = 6,824/x
  3. Step 3: Cross multiply
    10,804.40x = 14,905.98 × 6,824
  4. Step 4: Simplify right side
    10,804.40x = 101,718,407.52
  5. Step 5: Solve for x
    x = 101,718,407.52/10,804.40
  6. Step 6: Final answer
    x = 9,414.54

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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.