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Finding the Fourth Proportional to 12,076.80, 16,655.07 and 7,823.54

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Solution

The fourth proportional to 12,076.80, 16,655.07 and 7,823.54 is: 10,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.80 : 16,655.07 = 7,823.54 : x
  2. Step 2: Convert to fraction form
    12,076.80/16,655.07 = 7,823.54/x
  3. Step 3: Cross multiply
    12,076.80x = 16,655.07 × 7,823.54
  4. Step 4: Simplify right side
    12,076.80x = 130,301,539.63
  5. Step 5: Solve for x
    x = 130,301,539.63/12,076.80
  6. Step 6: Final answer
    x = 10,789.41

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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.