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Finding the Fourth Proportional to 32,640, 48,960.96 and 8,016

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Solution

The fourth proportional to 32,640, 48,960.96 and 8,016 is: 12,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640 : 48,960.96 = 8,016 : x
  2. Step 2: Convert to fraction form
    32,640/48,960.96 = 8,016/x
  3. Step 3: Cross multiply
    32,640x = 48,960.96 × 8,016
  4. Step 4: Simplify right side
    32,640x = 392,471,055.36
  5. Step 5: Solve for x
    x = 392,471,055.36/32,640
  6. Step 6: Final answer
    x = 12,024.24

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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.