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Finding the Fourth Proportional to 11,448.47, 15,799.23 and 6,412.68

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Solution

The fourth proportional to 11,448.47, 15,799.23 and 6,412.68 is: 8,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.47 : 15,799.23 = 6,412.68 : x
  2. Step 2: Convert to fraction form
    11,448.47/15,799.23 = 6,412.68/x
  3. Step 3: Cross multiply
    11,448.47x = 15,799.23 × 6,412.68
  4. Step 4: Simplify right side
    11,448.47x = 101,315,406.24
  5. Step 5: Solve for x
    x = 101,315,406.24/11,448.47
  6. Step 6: Final answer
    x = 8,849.69

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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.