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Finding the Fourth Proportional to 3,913.96, 5,402.96 and 2,341.76

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Solution

The fourth proportional to 3,913.96, 5,402.96 and 2,341.76 is: 3,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.96 : 5,402.96 = 2,341.76 : x
  2. Step 2: Convert to fraction form
    3,913.96/5,402.96 = 2,341.76/x
  3. Step 3: Cross multiply
    3,913.96x = 5,402.96 × 2,341.76
  4. Step 4: Simplify right side
    3,913.96x = 12,652,435.61
  5. Step 5: Solve for x
    x = 12,652,435.61/3,913.96
  6. Step 6: Final answer
    x = 3,232.64

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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.