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Finding the Fourth Proportional to 15,807.60, 21,812.49 and 8,734.05

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Solution

The fourth proportional to 15,807.60, 21,812.49 and 8,734.05 is: 12,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.60 : 21,812.49 = 8,734.05 : x
  2. Step 2: Convert to fraction form
    15,807.60/21,812.49 = 8,734.05/x
  3. Step 3: Cross multiply
    15,807.60x = 21,812.49 × 8,734.05
  4. Step 4: Simplify right side
    15,807.60x = 190,511,378.28
  5. Step 5: Solve for x
    x = 190,511,378.28/15,807.60
  6. Step 6: Final answer
    x = 12,051.89

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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.