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Finding the Fourth Proportional to 10,438.54, 14,410.11 and 6,462.25

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Solution

The fourth proportional to 10,438.54, 14,410.11 and 6,462.25 is: 8,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.54 : 14,410.11 = 6,462.25 : x
  2. Step 2: Convert to fraction form
    10,438.54/14,410.11 = 6,462.25/x
  3. Step 3: Cross multiply
    10,438.54x = 14,410.11 × 6,462.25
  4. Step 4: Simplify right side
    10,438.54x = 93,121,733.35
  5. Step 5: Solve for x
    x = 93,121,733.35/10,438.54
  6. Step 6: Final answer
    x = 8,920.95

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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.