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Finding the Fourth Proportional to 13,277.30, 19,894.77 and 7,349

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Solution

The fourth proportional to 13,277.30, 19,894.77 and 7,349 is: 11,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.30 : 19,894.77 = 7,349 : x
  2. Step 2: Convert to fraction form
    13,277.30/19,894.77 = 7,349/x
  3. Step 3: Cross multiply
    13,277.30x = 19,894.77 × 7,349
  4. Step 4: Simplify right side
    13,277.30x = 146,206,664.73
  5. Step 5: Solve for x
    x = 146,206,664.73/13,277.30
  6. Step 6: Final answer
    x = 11,011.78

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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.