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Finding the Fourth Proportional to 21,132.96, 31,706.64 and 7,989.12

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Solution

The fourth proportional to 21,132.96, 31,706.64 and 7,989.12 is: 11,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.96 : 31,706.64 = 7,989.12 : x
  2. Step 2: Convert to fraction form
    21,132.96/31,706.64 = 7,989.12/x
  3. Step 3: Cross multiply
    21,132.96x = 31,706.64 × 7,989.12
  4. Step 4: Simplify right side
    21,132.96x = 253,308,151.76
  5. Step 5: Solve for x
    x = 253,308,151.76/21,132.96
  6. Step 6: Final answer
    x = 11,986.40

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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.