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Finding the Fourth Proportional to 13,088, 19,633.92 and 7,819.84

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Solution

The fourth proportional to 13,088, 19,633.92 and 7,819.84 is: 11,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088 : 19,633.92 = 7,819.84 : x
  2. Step 2: Convert to fraction form
    13,088/19,633.92 = 7,819.84/x
  3. Step 3: Cross multiply
    13,088x = 19,633.92 × 7,819.84
  4. Step 4: Simplify right side
    13,088x = 153,534,112.97
  5. Step 5: Solve for x
    x = 153,534,112.97/13,088
  6. Step 6: Final answer
    x = 11,730.91

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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.