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Finding the Fourth Proportional to 10,406.90, 14,369.04 and 6,433.46

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Solution

The fourth proportional to 10,406.90, 14,369.04 and 6,433.46 is: 8,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.90 : 14,369.04 = 6,433.46 : x
  2. Step 2: Convert to fraction form
    10,406.90/14,369.04 = 6,433.46/x
  3. Step 3: Cross multiply
    10,406.90x = 14,369.04 × 6,433.46
  4. Step 4: Simplify right side
    10,406.90x = 92,442,644.08
  5. Step 5: Solve for x
    x = 92,442,644.08/10,406.90
  6. Step 6: Final answer
    x = 8,882.82

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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.