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Finding the Fourth Proportional to 12,735.92, 17,575.76 and 7,699.24

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Solution

The fourth proportional to 12,735.92, 17,575.76 and 7,699.24 is: 10,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.92 : 17,575.76 = 7,699.24 : x
  2. Step 2: Convert to fraction form
    12,735.92/17,575.76 = 7,699.24/x
  3. Step 3: Cross multiply
    12,735.92x = 17,575.76 × 7,699.24
  4. Step 4: Simplify right side
    12,735.92x = 135,319,994.42
  5. Step 5: Solve for x
    x = 135,319,994.42/12,735.92
  6. Step 6: Final answer
    x = 10,625.07

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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.