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Finding the Fourth Proportional to 21,489.40, 32,214.64 and 7,635.16

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Solution

The fourth proportional to 21,489.40, 32,214.64 and 7,635.16 is: 11,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489.40 : 32,214.64 = 7,635.16 : x
  2. Step 2: Convert to fraction form
    21,489.40/32,214.64 = 7,635.16/x
  3. Step 3: Cross multiply
    21,489.40x = 32,214.64 × 7,635.16
  4. Step 4: Simplify right side
    21,489.40x = 245,963,930.74
  5. Step 5: Solve for x
    x = 245,963,930.74/21,489.40
  6. Step 6: Final answer
    x = 11,445.83

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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.