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Finding the Fourth Proportional to 19,603.84, 29,405.20 and 7,916.64

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Solution

The fourth proportional to 19,603.84, 29,405.20 and 7,916.64 is: 11,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,603.84 : 29,405.20 = 7,916.64 : x
  2. Step 2: Convert to fraction form
    19,603.84/29,405.20 = 7,916.64/x
  3. Step 3: Cross multiply
    19,603.84x = 29,405.20 × 7,916.64
  4. Step 4: Simplify right side
    19,603.84x = 232,790,382.53
  5. Step 5: Solve for x
    x = 232,790,382.53/19,603.84
  6. Step 6: Final answer
    x = 11,874.73

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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.