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Finding the Fourth Proportional to 10,731.94, 14,810.05 and 6,540.19

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Solution

The fourth proportional to 10,731.94, 14,810.05 and 6,540.19 is: 9,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.94 : 14,810.05 = 6,540.19 : x
  2. Step 2: Convert to fraction form
    10,731.94/14,810.05 = 6,540.19/x
  3. Step 3: Cross multiply
    10,731.94x = 14,810.05 × 6,540.19
  4. Step 4: Simplify right side
    10,731.94x = 96,860,540.91
  5. Step 5: Solve for x
    x = 96,860,540.91/10,731.94
  6. Step 6: Final answer
    x = 9,025.45

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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.