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Finding the Fourth Proportional to 8,398, 12,588.49 and 3,470.37

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Solution

The fourth proportional to 8,398, 12,588.49 and 3,470.37 is: 5,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398 : 12,588.49 = 3,470.37 : x
  2. Step 2: Convert to fraction form
    8,398/12,588.49 = 3,470.37/x
  3. Step 3: Cross multiply
    8,398x = 12,588.49 × 3,470.37
  4. Step 4: Simplify right side
    8,398x = 43,686,718.04
  5. Step 5: Solve for x
    x = 43,686,718.04/8,398
  6. Step 6: Final answer
    x = 5,202.04

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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.