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Finding the Fourth Proportional to 11,809.52, 16,283.62 and 8,820.31

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Solution

The fourth proportional to 11,809.52, 16,283.62 and 8,820.31 is: 12,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.52 : 16,283.62 = 8,820.31 : x
  2. Step 2: Convert to fraction form
    11,809.52/16,283.62 = 8,820.31/x
  3. Step 3: Cross multiply
    11,809.52x = 16,283.62 × 8,820.31
  4. Step 4: Simplify right side
    11,809.52x = 143,626,546.64
  5. Step 5: Solve for x
    x = 143,626,546.64/11,809.52
  6. Step 6: Final answer
    x = 12,161.93

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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.