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Finding the Fourth Proportional to 20,567.84, 30,844.32 and 7,416.68

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Solution

The fourth proportional to 20,567.84, 30,844.32 and 7,416.68 is: 11,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.84 : 30,844.32 = 7,416.68 : x
  2. Step 2: Convert to fraction form
    20,567.84/30,844.32 = 7,416.68/x
  3. Step 3: Cross multiply
    20,567.84x = 30,844.32 × 7,416.68
  4. Step 4: Simplify right side
    20,567.84x = 228,762,451.26
  5. Step 5: Solve for x
    x = 228,762,451.26/20,567.84
  6. Step 6: Final answer
    x = 11,122.34

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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.