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Finding the Fourth Proportional to 6,428.06, 8,870 and 3,633.56

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Solution

The fourth proportional to 6,428.06, 8,870 and 3,633.56 is: 5,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.06 : 8,870 = 3,633.56 : x
  2. Step 2: Convert to fraction form
    6,428.06/8,870 = 3,633.56/x
  3. Step 3: Cross multiply
    6,428.06x = 8,870 × 3,633.56
  4. Step 4: Simplify right side
    6,428.06x = 32,229,677.20
  5. Step 5: Solve for x
    x = 32,229,677.20/6,428.06
  6. Step 6: Final answer
    x = 5,013.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.