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Finding the Fourth Proportional to 13,942.96, 19,241.28 and 7,655.32

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Solution

The fourth proportional to 13,942.96, 19,241.28 and 7,655.32 is: 10,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.96 : 19,241.28 = 7,655.32 : x
  2. Step 2: Convert to fraction form
    13,942.96/19,241.28 = 7,655.32/x
  3. Step 3: Cross multiply
    13,942.96x = 19,241.28 × 7,655.32
  4. Step 4: Simplify right side
    13,942.96x = 147,298,155.61
  5. Step 5: Solve for x
    x = 147,298,155.61/13,942.96
  6. Step 6: Final answer
    x = 10,564.34

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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.