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Finding the Fourth Proportional to 8,477.92, 12,715.20 and 6,844

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Solution

The fourth proportional to 8,477.92, 12,715.20 and 6,844 is: 10,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.92 : 12,715.20 = 6,844 : x
  2. Step 2: Convert to fraction form
    8,477.92/12,715.20 = 6,844/x
  3. Step 3: Cross multiply
    8,477.92x = 12,715.20 × 6,844
  4. Step 4: Simplify right side
    8,477.92x = 87,022,828.80
  5. Step 5: Solve for x
    x = 87,022,828.80/8,477.92
  6. Step 6: Final answer
    x = 10,264.64

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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.