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Finding the Fourth Proportional to 3,925.96, 5,415.76 and 2,433.40

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Solution

The fourth proportional to 3,925.96, 5,415.76 and 2,433.40 is: 3,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.96 : 5,415.76 = 2,433.40 : x
  2. Step 2: Convert to fraction form
    3,925.96/5,415.76 = 2,433.40/x
  3. Step 3: Cross multiply
    3,925.96x = 5,415.76 × 2,433.40
  4. Step 4: Simplify right side
    3,925.96x = 13,178,710.38
  5. Step 5: Solve for x
    x = 13,178,710.38/3,925.96
  6. Step 6: Final answer
    x = 3,356.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.