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Finding the Fourth Proportional to 10,544.96, 15,831.09 and 7,426.35

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Solution

The fourth proportional to 10,544.96, 15,831.09 and 7,426.35 is: 11,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.96 : 15,831.09 = 7,426.35 : x
  2. Step 2: Convert to fraction form
    10,544.96/15,831.09 = 7,426.35/x
  3. Step 3: Cross multiply
    10,544.96x = 15,831.09 × 7,426.35
  4. Step 4: Simplify right side
    10,544.96x = 117,567,215.22
  5. Step 5: Solve for x
    x = 117,567,215.22/10,544.96
  6. Step 6: Final answer
    x = 11,149.14

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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.