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Finding the Fourth Proportional to 6,291.62, 9,437.64 and 2,828.88

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Solution

The fourth proportional to 6,291.62, 9,437.64 and 2,828.88 is: 4,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.62 : 9,437.64 = 2,828.88 : x
  2. Step 2: Convert to fraction form
    6,291.62/9,437.64 = 2,828.88/x
  3. Step 3: Cross multiply
    6,291.62x = 9,437.64 × 2,828.88
  4. Step 4: Simplify right side
    6,291.62x = 26,697,951.04
  5. Step 5: Solve for x
    x = 26,697,951.04/6,291.62
  6. Step 6: Final answer
    x = 4,243.41

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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.