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Finding the Fourth Proportional to 12,873.60, 17,766.26 and 7,837.02

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Solution

The fourth proportional to 12,873.60, 17,766.26 and 7,837.02 is: 10,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.60 : 17,766.26 = 7,837.02 : x
  2. Step 2: Convert to fraction form
    12,873.60/17,766.26 = 7,837.02/x
  3. Step 3: Cross multiply
    12,873.60x = 17,766.26 × 7,837.02
  4. Step 4: Simplify right side
    12,873.60x = 139,234,534.95
  5. Step 5: Solve for x
    x = 139,234,534.95/12,873.60
  6. Step 6: Final answer
    x = 10,815.51

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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.