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Finding the Fourth Proportional to 14,274.36, 21,420.68 and 7,705.12

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Solution

The fourth proportional to 14,274.36, 21,420.68 and 7,705.12 is: 11,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.36 : 21,420.68 = 7,705.12 : x
  2. Step 2: Convert to fraction form
    14,274.36/21,420.68 = 7,705.12/x
  3. Step 3: Cross multiply
    14,274.36x = 21,420.68 × 7,705.12
  4. Step 4: Simplify right side
    14,274.36x = 165,048,909.88
  5. Step 5: Solve for x
    x = 165,048,909.88/14,274.36
  6. Step 6: Final answer
    x = 11,562.61

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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.