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Finding the Fourth Proportional to 2,659.85, 3,989.79 and 928.48

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Solution

The fourth proportional to 2,659.85, 3,989.79 and 928.48 is: 1,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.85 : 3,989.79 = 928.48 : x
  2. Step 2: Convert to fraction form
    2,659.85/3,989.79 = 928.48/x
  3. Step 3: Cross multiply
    2,659.85x = 3,989.79 × 928.48
  4. Step 4: Simplify right side
    2,659.85x = 3,704,415.63
  5. Step 5: Solve for x
    x = 3,704,415.63/2,659.85
  6. Step 6: Final answer
    x = 1,392.72

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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.