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Finding the Fourth Proportional to 5,409.64, 7,463.40 and 3,419.56

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Solution

The fourth proportional to 5,409.64, 7,463.40 and 3,419.56 is: 4,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.64 : 7,463.40 = 3,419.56 : x
  2. Step 2: Convert to fraction form
    5,409.64/7,463.40 = 3,419.56/x
  3. Step 3: Cross multiply
    5,409.64x = 7,463.40 × 3,419.56
  4. Step 4: Simplify right side
    5,409.64x = 25,521,544.10
  5. Step 5: Solve for x
    x = 25,521,544.10/5,409.64
  6. Step 6: Final answer
    x = 4,717.79

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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.