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Finding the Fourth Proportional to 12,800.84, 17,661.11 and 10,103.54

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Solution

The fourth proportional to 12,800.84, 17,661.11 and 10,103.54 is: 13,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.84 : 17,661.11 = 10,103.54 : x
  2. Step 2: Convert to fraction form
    12,800.84/17,661.11 = 10,103.54/x
  3. Step 3: Cross multiply
    12,800.84x = 17,661.11 × 10,103.54
  4. Step 4: Simplify right side
    12,800.84x = 178,439,592.51
  5. Step 5: Solve for x
    x = 178,439,592.51/12,800.84
  6. Step 6: Final answer
    x = 13,939.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.