Home / 5,406-8,109.52-2,485.12

Finding the Fourth Proportional to 5,406, 8,109.52 and 2,485.12

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Solution

The fourth proportional to 5,406, 8,109.52 and 2,485.12 is: 3,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 8,109.52 = 2,485.12 : x
  2. Step 2: Convert to fraction form
    5,406/8,109.52 = 2,485.12/x
  3. Step 3: Cross multiply
    5,406x = 8,109.52 × 2,485.12
  4. Step 4: Simplify right side
    5,406x = 20,153,130.34
  5. Step 5: Solve for x
    x = 20,153,130.34/5,406
  6. Step 6: Final answer
    x = 3,727.92

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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.