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Finding the Fourth Proportional to 12,009.06, 16,580.70 and 7,824.60

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Solution

The fourth proportional to 12,009.06, 16,580.70 and 7,824.60 is: 10,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.06 : 16,580.70 = 7,824.60 : x
  2. Step 2: Convert to fraction form
    12,009.06/16,580.70 = 7,824.60/x
  3. Step 3: Cross multiply
    12,009.06x = 16,580.70 × 7,824.60
  4. Step 4: Simplify right side
    12,009.06x = 129,737,345.22
  5. Step 5: Solve for x
    x = 129,737,345.22/12,009.06
  6. Step 6: Final answer
    x = 10,803.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.