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Finding the Fourth Proportional to 16,451.84, 22,703.82 and 9,378.38

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Solution

The fourth proportional to 16,451.84, 22,703.82 and 9,378.38 is: 12,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451.84 : 22,703.82 = 9,378.38 : x
  2. Step 2: Convert to fraction form
    16,451.84/22,703.82 = 9,378.38/x
  3. Step 3: Cross multiply
    16,451.84x = 22,703.82 × 9,378.38
  4. Step 4: Simplify right side
    16,451.84x = 212,925,051.41
  5. Step 5: Solve for x
    x = 212,925,051.41/16,451.84
  6. Step 6: Final answer
    x = 12,942.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.