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Finding the Fourth Proportional to 8,141, 11,223.72 and 6,467.96

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Solution

The fourth proportional to 8,141, 11,223.72 and 6,467.96 is: 8,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141 : 11,223.72 = 6,467.96 : x
  2. Step 2: Convert to fraction form
    8,141/11,223.72 = 6,467.96/x
  3. Step 3: Cross multiply
    8,141x = 11,223.72 × 6,467.96
  4. Step 4: Simplify right side
    8,141x = 72,594,572.01
  5. Step 5: Solve for x
    x = 72,594,572.01/8,141
  6. Step 6: Final answer
    x = 8,917.16

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1.5x scale

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.