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Finding the Fourth Proportional to 11,780.86, 17,669.94 and 7,384.90

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Solution

The fourth proportional to 11,780.86, 17,669.94 and 7,384.90 is: 11,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.86 : 17,669.94 = 7,384.90 : x
  2. Step 2: Convert to fraction form
    11,780.86/17,669.94 = 7,384.90/x
  3. Step 3: Cross multiply
    11,780.86x = 17,669.94 × 7,384.90
  4. Step 4: Simplify right side
    11,780.86x = 130,490,739.91
  5. Step 5: Solve for x
    x = 130,490,739.91/11,780.86
  6. Step 6: Final answer
    x = 11,076.50

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1.5x scale

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.