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Finding the Fourth Proportional to 8,497, 12,750.54 and 3,880.36

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Solution

The fourth proportional to 8,497, 12,750.54 and 3,880.36 is: 5,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497 : 12,750.54 = 3,880.36 : x
  2. Step 2: Convert to fraction form
    8,497/12,750.54 = 3,880.36/x
  3. Step 3: Cross multiply
    8,497x = 12,750.54 × 3,880.36
  4. Step 4: Simplify right side
    8,497x = 49,476,685.39
  5. Step 5: Solve for x
    x = 49,476,685.39/8,497
  6. Step 6: Final answer
    x = 5,822.84

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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.