Home / 10,821.87-16,201.17-9,784.26

Finding the Fourth Proportional to 10,821.87, 16,201.17 and 9,784.26

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Solution

The fourth proportional to 10,821.87, 16,201.17 and 9,784.26 is: 14,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.87 : 16,201.17 = 9,784.26 : x
  2. Step 2: Convert to fraction form
    10,821.87/16,201.17 = 9,784.26/x
  3. Step 3: Cross multiply
    10,821.87x = 16,201.17 × 9,784.26
  4. Step 4: Simplify right side
    10,821.87x = 158,516,459.58
  5. Step 5: Solve for x
    x = 158,516,459.58/10,821.87
  6. Step 6: Final answer
    x = 14,647.79

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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.