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Finding the Fourth Proportional to 11,808.48, 16,299.99 and 7,830.93

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Solution

The fourth proportional to 11,808.48, 16,299.99 and 7,830.93 is: 10,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.48 : 16,299.99 = 7,830.93 : x
  2. Step 2: Convert to fraction form
    11,808.48/16,299.99 = 7,830.93/x
  3. Step 3: Cross multiply
    11,808.48x = 16,299.99 × 7,830.93
  4. Step 4: Simplify right side
    11,808.48x = 127,644,080.69
  5. Step 5: Solve for x
    x = 127,644,080.69/11,808.48
  6. Step 6: Final answer
    x = 10,809.53

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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.