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Finding the Fourth Proportional to 7,017.64, 9,684.31 and 3,830.92

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Solution

The fourth proportional to 7,017.64, 9,684.31 and 3,830.92 is: 5,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.64 : 9,684.31 = 3,830.92 : x
  2. Step 2: Convert to fraction form
    7,017.64/9,684.31 = 3,830.92/x
  3. Step 3: Cross multiply
    7,017.64x = 9,684.31 × 3,830.92
  4. Step 4: Simplify right side
    7,017.64x = 37,099,816.87
  5. Step 5: Solve for x
    x = 37,099,816.87/7,017.64
  6. Step 6: Final answer
    x = 5,286.65

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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.