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Finding the Fourth Proportional to 14,099.49, 19,457.22 and 7,811.85

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Solution

The fourth proportional to 14,099.49, 19,457.22 and 7,811.85 is: 10,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.49 : 19,457.22 = 7,811.85 : x
  2. Step 2: Convert to fraction form
    14,099.49/19,457.22 = 7,811.85/x
  3. Step 3: Cross multiply
    14,099.49x = 19,457.22 × 7,811.85
  4. Step 4: Simplify right side
    14,099.49x = 151,996,884.06
  5. Step 5: Solve for x
    x = 151,996,884.06/14,099.49
  6. Step 6: Final answer
    x = 10,780.31

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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.