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Finding the Fourth Proportional to 3,966, 5,465.54 and 2,904.09

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Solution

The fourth proportional to 3,966, 5,465.54 and 2,904.09 is: 4,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966 : 5,465.54 = 2,904.09 : x
  2. Step 2: Convert to fraction form
    3,966/5,465.54 = 2,904.09/x
  3. Step 3: Cross multiply
    3,966x = 5,465.54 × 2,904.09
  4. Step 4: Simplify right side
    3,966x = 15,872,405.54
  5. Step 5: Solve for x
    x = 15,872,405.54/3,966
  6. Step 6: Final answer
    x = 4,002.12

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1.5x scale

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.