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Finding the Fourth Proportional to 8,648.65, 12,960.80 and 4,945.33

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Solution

The fourth proportional to 8,648.65, 12,960.80 and 4,945.33 is: 7,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.65 : 12,960.80 = 4,945.33 : x
  2. Step 2: Convert to fraction form
    8,648.65/12,960.80 = 4,945.33/x
  3. Step 3: Cross multiply
    8,648.65x = 12,960.80 × 4,945.33
  4. Step 4: Simplify right side
    8,648.65x = 64,095,433.06
  5. Step 5: Solve for x
    x = 64,095,433.06/8,648.65
  6. Step 6: Final answer
    x = 7,411.03

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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.