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Finding the Fourth Proportional to 5,679.48, 7,838.46 and 3,322.20

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Solution

The fourth proportional to 5,679.48, 7,838.46 and 3,322.20 is: 4,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.48 : 7,838.46 = 3,322.20 : x
  2. Step 2: Convert to fraction form
    5,679.48/7,838.46 = 3,322.20/x
  3. Step 3: Cross multiply
    5,679.48x = 7,838.46 × 3,322.20
  4. Step 4: Simplify right side
    5,679.48x = 26,040,931.81
  5. Step 5: Solve for x
    x = 26,040,931.81/5,679.48
  6. Step 6: Final answer
    x = 4,585.09

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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.