Home / 8,176-11,283.20-4,865.92

Finding the Fourth Proportional to 8,176, 11,283.20 and 4,865.92

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Solution

The fourth proportional to 8,176, 11,283.20 and 4,865.92 is: 6,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176 : 11,283.20 = 4,865.92 : x
  2. Step 2: Convert to fraction form
    8,176/11,283.20 = 4,865.92/x
  3. Step 3: Cross multiply
    8,176x = 11,283.20 × 4,865.92
  4. Step 4: Simplify right side
    8,176x = 54,903,148.54
  5. Step 5: Solve for x
    x = 54,903,148.54/8,176
  6. Step 6: Final answer
    x = 6,715.16

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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.