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Finding the Fourth Proportional to 12,985.22, 17,914.68 and 7,945.40

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Solution

The fourth proportional to 12,985.22, 17,914.68 and 7,945.40 is: 10,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.22 : 17,914.68 = 7,945.40 : x
  2. Step 2: Convert to fraction form
    12,985.22/17,914.68 = 7,945.40/x
  3. Step 3: Cross multiply
    12,985.22x = 17,914.68 × 7,945.40
  4. Step 4: Simplify right side
    12,985.22x = 142,339,298.47
  5. Step 5: Solve for x
    x = 142,339,298.47/12,985.22
  6. Step 6: Final answer
    x = 10,961.64

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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.