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Finding the Fourth Proportional to 3,964, 5,470.60 and 2,392

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Solution

The fourth proportional to 3,964, 5,470.60 and 2,392 is: 3,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964 : 5,470.60 = 2,392 : x
  2. Step 2: Convert to fraction form
    3,964/5,470.60 = 2,392/x
  3. Step 3: Cross multiply
    3,964x = 5,470.60 × 2,392
  4. Step 4: Simplify right side
    3,964x = 13,085,675.20
  5. Step 5: Solve for x
    x = 13,085,675.20/3,964
  6. Step 6: Final answer
    x = 3,301.13

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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.