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Finding the Fourth Proportional to 6,392.96, 9,590.40 and 2,288

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Solution

The fourth proportional to 6,392.96, 9,590.40 and 2,288 is: 3,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.96 : 9,590.40 = 2,288 : x
  2. Step 2: Convert to fraction form
    6,392.96/9,590.40 = 2,288/x
  3. Step 3: Cross multiply
    6,392.96x = 9,590.40 × 2,288
  4. Step 4: Simplify right side
    6,392.96x = 21,942,835.20
  5. Step 5: Solve for x
    x = 21,942,835.20/6,392.96
  6. Step 6: Final answer
    x = 3,432.34

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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.