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Finding the Fourth Proportional to 8,176, 11,281.98 and 4,639.24

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Solution

The fourth proportional to 8,176, 11,281.98 and 4,639.24 is: 6,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176 : 11,281.98 = 4,639.24 : x
  2. Step 2: Convert to fraction form
    8,176/11,281.98 = 4,639.24/x
  3. Step 3: Cross multiply
    8,176x = 11,281.98 × 4,639.24
  4. Step 4: Simplify right side
    8,176x = 52,339,812.90
  5. Step 5: Solve for x
    x = 52,339,812.90/8,176
  6. Step 6: Final answer
    x = 6,401.64

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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.