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Finding the Fourth Proportional to 8,902.72, 12,284.16 and 5,176

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Solution

The fourth proportional to 8,902.72, 12,284.16 and 5,176 is: 7,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.72 : 12,284.16 = 5,176 : x
  2. Step 2: Convert to fraction form
    8,902.72/12,284.16 = 5,176/x
  3. Step 3: Cross multiply
    8,902.72x = 12,284.16 × 5,176
  4. Step 4: Simplify right side
    8,902.72x = 63,582,812.16
  5. Step 5: Solve for x
    x = 63,582,812.16/8,902.72
  6. Step 6: Final answer
    x = 7,141.95

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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.