Home / 10,823.08-16,237.08-3,428

Finding the Fourth Proportional to 10,823.08, 16,237.08 and 3,428

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Solution

The fourth proportional to 10,823.08, 16,237.08 and 3,428 is: 5,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.08 : 16,237.08 = 3,428 : x
  2. Step 2: Convert to fraction form
    10,823.08/16,237.08 = 3,428/x
  3. Step 3: Cross multiply
    10,823.08x = 16,237.08 × 3,428
  4. Step 4: Simplify right side
    10,823.08x = 55,660,710.24
  5. Step 5: Solve for x
    x = 55,660,710.24/10,823.08
  6. Step 6: Final answer
    x = 5,142.78

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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.