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Finding the Fourth Proportional to 12,608.66, 18,905.88 and 5,204.90

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Solution

The fourth proportional to 12,608.66, 18,905.88 and 5,204.90 is: 7,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.66 : 18,905.88 = 5,204.90 : x
  2. Step 2: Convert to fraction form
    12,608.66/18,905.88 = 5,204.90/x
  3. Step 3: Cross multiply
    12,608.66x = 18,905.88 × 5,204.90
  4. Step 4: Simplify right side
    12,608.66x = 98,403,214.81
  5. Step 5: Solve for x
    x = 98,403,214.81/12,608.66
  6. Step 6: Final answer
    x = 7,804.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.