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Finding the Fourth Proportional to 7,029.84, 9,689.20 and 6,433.97

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Solution

The fourth proportional to 7,029.84, 9,689.20 and 6,433.97 is: 8,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.84 : 9,689.20 = 6,433.97 : x
  2. Step 2: Convert to fraction form
    7,029.84/9,689.20 = 6,433.97/x
  3. Step 3: Cross multiply
    7,029.84x = 9,689.20 × 6,433.97
  4. Step 4: Simplify right side
    7,029.84x = 62,340,022.12
  5. Step 5: Solve for x
    x = 62,340,022.12/7,029.84
  6. Step 6: Final answer
    x = 8,867.91

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