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Finding the Fourth Proportional to 5,286.60, 7,929.30 and 1,391.40

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Solution

The fourth proportional to 5,286.60, 7,929.30 and 1,391.40 is: 2,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.60 : 7,929.30 = 1,391.40 : x
  2. Step 2: Convert to fraction form
    5,286.60/7,929.30 = 1,391.40/x
  3. Step 3: Cross multiply
    5,286.60x = 7,929.30 × 1,391.40
  4. Step 4: Simplify right side
    5,286.60x = 11,032,828.02
  5. Step 5: Solve for x
    x = 11,032,828.02/5,286.60
  6. Step 6: Final answer
    x = 2,086.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.