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Finding the Fourth Proportional to 20,566.70, 30,831.33 and 7,416.08

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Solution

The fourth proportional to 20,566.70, 30,831.33 and 7,416.08 is: 11,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566.70 : 30,831.33 = 7,416.08 : x
  2. Step 2: Convert to fraction form
    20,566.70/30,831.33 = 7,416.08/x
  3. Step 3: Cross multiply
    20,566.70x = 30,831.33 × 7,416.08
  4. Step 4: Simplify right side
    20,566.70x = 228,647,609.79
  5. Step 5: Solve for x
    x = 228,647,609.79/20,566.70
  6. Step 6: Final answer
    x = 11,117.37

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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.