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Finding the Fourth Proportional to 11,777.14, 16,254.75 and 7,798.42

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Solution

The fourth proportional to 11,777.14, 16,254.75 and 7,798.42 is: 10,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.14 : 16,254.75 = 7,798.42 : x
  2. Step 2: Convert to fraction form
    11,777.14/16,254.75 = 7,798.42/x
  3. Step 3: Cross multiply
    11,777.14x = 16,254.75 × 7,798.42
  4. Step 4: Simplify right side
    11,777.14x = 126,761,367.50
  5. Step 5: Solve for x
    x = 126,761,367.50/11,777.14
  6. Step 6: Final answer
    x = 10,763.34

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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.