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Finding the Fourth Proportional to 10,731.09, 14,811.48 and 8,461.08

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Solution

The fourth proportional to 10,731.09, 14,811.48 and 8,461.08 is: 11,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.09 : 14,811.48 = 8,461.08 : x
  2. Step 2: Convert to fraction form
    10,731.09/14,811.48 = 8,461.08/x
  3. Step 3: Cross multiply
    10,731.09x = 14,811.48 × 8,461.08
  4. Step 4: Simplify right side
    10,731.09x = 125,321,117.20
  5. Step 5: Solve for x
    x = 125,321,117.20/10,731.09
  6. Step 6: Final answer
    x = 11,678.32

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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.