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Finding the Fourth Proportional to 14,405, 19,878.90 and 7,781

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Solution

The fourth proportional to 14,405, 19,878.90 and 7,781 is: 10,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405 : 19,878.90 = 7,781 : x
  2. Step 2: Convert to fraction form
    14,405/19,878.90 = 7,781/x
  3. Step 3: Cross multiply
    14,405x = 19,878.90 × 7,781
  4. Step 4: Simplify right side
    14,405x = 154,677,720.90
  5. Step 5: Solve for x
    x = 154,677,720.90/14,405
  6. Step 6: Final answer
    x = 10,737.78

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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.