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Finding the Fourth Proportional to 3,935.84, 5,909.16 and 2,470.64

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Solution

The fourth proportional to 3,935.84, 5,909.16 and 2,470.64 is: 3,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.84 : 5,909.16 = 2,470.64 : x
  2. Step 2: Convert to fraction form
    3,935.84/5,909.16 = 2,470.64/x
  3. Step 3: Cross multiply
    3,935.84x = 5,909.16 × 2,470.64
  4. Step 4: Simplify right side
    3,935.84x = 14,599,407.06
  5. Step 5: Solve for x
    x = 14,599,407.06/3,935.84
  6. Step 6: Final answer
    x = 3,709.35

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Why These Related Problems?

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