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Finding the Fourth Proportional to 6,428.64, 9,631.95 and 3,508.99

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Solution

The fourth proportional to 6,428.64, 9,631.95 and 3,508.99 is: 5,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.64 : 9,631.95 = 3,508.99 : x
  2. Step 2: Convert to fraction form
    6,428.64/9,631.95 = 3,508.99/x
  3. Step 3: Cross multiply
    6,428.64x = 9,631.95 × 3,508.99
  4. Step 4: Simplify right side
    6,428.64x = 33,798,416.23
  5. Step 5: Solve for x
    x = 33,798,416.23/6,428.64
  6. Step 6: Final answer
    x = 5,257.48

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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.