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Finding the Fourth Proportional to 8,521.92, 12,802.32 and 8,172

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Solution

The fourth proportional to 8,521.92, 12,802.32 and 8,172 is: 12,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.92 : 12,802.32 = 8,172 : x
  2. Step 2: Convert to fraction form
    8,521.92/12,802.32 = 8,172/x
  3. Step 3: Cross multiply
    8,521.92x = 12,802.32 × 8,172
  4. Step 4: Simplify right side
    8,521.92x = 104,620,559.04
  5. Step 5: Solve for x
    x = 104,620,559.04/8,521.92
  6. Step 6: Final answer
    x = 12,276.64

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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.