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Finding the Fourth Proportional to 5,289.57, 7,934.76 and 1,393.88

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Solution

The fourth proportional to 5,289.57, 7,934.76 and 1,393.88 is: 2,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.57 : 7,934.76 = 1,393.88 : x
  2. Step 2: Convert to fraction form
    5,289.57/7,934.76 = 1,393.88/x
  3. Step 3: Cross multiply
    5,289.57x = 7,934.76 × 1,393.88
  4. Step 4: Simplify right side
    5,289.57x = 11,060,063.60
  5. Step 5: Solve for x
    x = 11,060,063.60/5,289.57
  6. Step 6: Final answer
    x = 2,090.92

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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.