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Finding the Fourth Proportional to 15,809.60, 21,815.25 and 8,736.05

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Solution

The fourth proportional to 15,809.60, 21,815.25 and 8,736.05 is: 12,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.60 : 21,815.25 = 8,736.05 : x
  2. Step 2: Convert to fraction form
    15,809.60/21,815.25 = 8,736.05/x
  3. Step 3: Cross multiply
    15,809.60x = 21,815.25 × 8,736.05
  4. Step 4: Simplify right side
    15,809.60x = 190,579,114.76
  5. Step 5: Solve for x
    x = 190,579,114.76/15,809.60
  6. Step 6: Final answer
    x = 12,054.64

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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.