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Finding the Fourth Proportional to 8,364, 12,549.64 and 3,434.78

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Solution

The fourth proportional to 8,364, 12,549.64 and 3,434.78 is: 5,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364 : 12,549.64 = 3,434.78 : x
  2. Step 2: Convert to fraction form
    8,364/12,549.64 = 3,434.78/x
  3. Step 3: Cross multiply
    8,364x = 12,549.64 × 3,434.78
  4. Step 4: Simplify right side
    8,364x = 43,105,252.48
  5. Step 5: Solve for x
    x = 43,105,252.48/8,364
  6. Step 6: Final answer
    x = 5,153.66

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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.