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Finding the Fourth Proportional to 13,970, 19,267.08 and 8,377.04

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Solution

The fourth proportional to 13,970, 19,267.08 and 8,377.04 is: 11,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970 : 19,267.08 = 8,377.04 : x
  2. Step 2: Convert to fraction form
    13,970/19,267.08 = 8,377.04/x
  3. Step 3: Cross multiply
    13,970x = 19,267.08 × 8,377.04
  4. Step 4: Simplify right side
    13,970x = 161,401,099.84
  5. Step 5: Solve for x
    x = 161,401,099.84/13,970
  6. Step 6: Final answer
    x = 11,553.41

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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.