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Finding the Fourth Proportional to 12,894.15, 19,312.47 and 12,579.87

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Solution

The fourth proportional to 12,894.15, 19,312.47 and 12,579.87 is: 18,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.15 : 19,312.47 = 12,579.87 : x
  2. Step 2: Convert to fraction form
    12,894.15/19,312.47 = 12,579.87/x
  3. Step 3: Cross multiply
    12,894.15x = 19,312.47 × 12,579.87
  4. Step 4: Simplify right side
    12,894.15x = 242,948,361.98
  5. Step 5: Solve for x
    x = 242,948,361.98/12,894.15
  6. Step 6: Final answer
    x = 18,841.75

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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.