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Finding the Fourth Proportional to 20,607.84, 30,888.18 and 8,121

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Solution

The fourth proportional to 20,607.84, 30,888.18 and 8,121 is: 12,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,607.84 : 30,888.18 = 8,121 : x
  2. Step 2: Convert to fraction form
    20,607.84/30,888.18 = 8,121/x
  3. Step 3: Cross multiply
    20,607.84x = 30,888.18 × 8,121
  4. Step 4: Simplify right side
    20,607.84x = 250,842,909.78
  5. Step 5: Solve for x
    x = 250,842,909.78/20,607.84
  6. Step 6: Final answer
    x = 12,172.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.