Home / 10,823.64-16,235.64-3,428.16

Finding the Fourth Proportional to 10,823.64, 16,235.64 and 3,428.16

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Solution

The fourth proportional to 10,823.64, 16,235.64 and 3,428.16 is: 5,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.64 : 16,235.64 = 3,428.16 : x
  2. Step 2: Convert to fraction form
    10,823.64/16,235.64 = 3,428.16/x
  3. Step 3: Cross multiply
    10,823.64x = 16,235.64 × 3,428.16
  4. Step 4: Simplify right side
    10,823.64x = 55,658,371.62
  5. Step 5: Solve for x
    x = 55,658,371.62/10,823.64
  6. Step 6: Final answer
    x = 5,142.30

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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.