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Finding the Fourth Proportional to 13,203.76, 19,806.18 and 7,355.92

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Solution

The fourth proportional to 13,203.76, 19,806.18 and 7,355.92 is: 11,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.76 : 19,806.18 = 7,355.92 : x
  2. Step 2: Convert to fraction form
    13,203.76/19,806.18 = 7,355.92/x
  3. Step 3: Cross multiply
    13,203.76x = 19,806.18 × 7,355.92
  4. Step 4: Simplify right side
    13,203.76x = 145,692,675.59
  5. Step 5: Solve for x
    x = 145,692,675.59/13,203.76
  6. Step 6: Final answer
    x = 11,034.18

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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.