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Finding the Fourth Proportional to 11,780.70, 16,271.73 and 8,809.68

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Solution

The fourth proportional to 11,780.70, 16,271.73 and 8,809.68 is: 12,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.70 : 16,271.73 = 8,809.68 : x
  2. Step 2: Convert to fraction form
    11,780.70/16,271.73 = 8,809.68/x
  3. Step 3: Cross multiply
    11,780.70x = 16,271.73 × 8,809.68
  4. Step 4: Simplify right side
    11,780.70x = 143,348,734.35
  5. Step 5: Solve for x
    x = 143,348,734.35/11,780.70
  6. Step 6: Final answer
    x = 12,168.10

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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.