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Finding the Fourth Proportional to 9,992.84, 14,989.23 and 2,972.81

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Solution

The fourth proportional to 9,992.84, 14,989.23 and 2,972.81 is: 4,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.84 : 14,989.23 = 2,972.81 : x
  2. Step 2: Convert to fraction form
    9,992.84/14,989.23 = 2,972.81/x
  3. Step 3: Cross multiply
    9,992.84x = 14,989.23 × 2,972.81
  4. Step 4: Simplify right side
    9,992.84x = 44,560,170.31
  5. Step 5: Solve for x
    x = 44,560,170.31/9,992.84
  6. Step 6: Final answer
    x = 4,459.21

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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.