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Finding the Fourth Proportional to 10,241.76, 15,362.10 and 3,315.72

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Solution

The fourth proportional to 10,241.76, 15,362.10 and 3,315.72 is: 4,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.76 : 15,362.10 = 3,315.72 : x
  2. Step 2: Convert to fraction form
    10,241.76/15,362.10 = 3,315.72/x
  3. Step 3: Cross multiply
    10,241.76x = 15,362.10 × 3,315.72
  4. Step 4: Simplify right side
    10,241.76x = 50,936,422.21
  5. Step 5: Solve for x
    x = 50,936,422.21/10,241.76
  6. Step 6: Final answer
    x = 4,973.41

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