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Finding the Fourth Proportional to 10,005.48, 14,998.14 and 7,419.96

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Solution

The fourth proportional to 10,005.48, 14,998.14 and 7,419.96 is: 11,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.48 : 14,998.14 = 7,419.96 : x
  2. Step 2: Convert to fraction form
    10,005.48/14,998.14 = 7,419.96/x
  3. Step 3: Cross multiply
    10,005.48x = 14,998.14 × 7,419.96
  4. Step 4: Simplify right side
    10,005.48x = 111,285,598.87
  5. Step 5: Solve for x
    x = 111,285,598.87/10,005.48
  6. Step 6: Final answer
    x = 11,122.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.